82777497903360 has 2592 divisors, whose sum is σ = 332119635644160. Its totient is φ = 19639413964800.

The previous prime is 82777497903341. The next prime is 82777497903361. The reversal of 82777497903360 is 6330979477728.

It is a happy number.

82777497903360 is a `hidden beast` number, since 8 + 2 + 7 + 77 + 497 + 9 + 0 + 3 + 3 + 60 = 666.

82777497903360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×82777497903360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82777497903361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 457334242470 + ... + 457334242650.

It is an arithmetic number, because the mean of its divisors is an integer number (128132575480).

Almost surely, 2^{82777497903360} is an apocalyptic number.

82777497903360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82777497903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166059817822080).

82777497903360 is an abundant number, since it is smaller than the sum of its proper divisors (249342137740800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82777497903360 is an equidigital number, since it uses as much as digits as its factorization.

82777497903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 82777497903360 in words is "eighty-two trillion, seven hundred seventy-seven billion, four hundred ninety-seven million, nine hundred three thousand, three hundred sixty".