82777150653760 has 56 divisors (see below), whose sum is σ = 197115710432256. Its totient is φ = 33110420083200.

The previous prime is 82777150653733. The next prime is 82777150653761. The reversal of 82777150653760 is 6735605177728.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 82777150653692 and 82777150653701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82777150653761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22940785 + ... + 26302735.

It is an arithmetic number, because the mean of its divisors is an integer number (3519923400576).

Almost surely, 2^{82777150653760} is an apocalyptic number.

82777150653760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82777150653760 is an abundant number, since it is smaller than the sum of its proper divisors (114338559778496).

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

82777150653760 is a wasteful number, since it uses less digits than its factorization.

82777150653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438911 (or 3438901 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 64.

The spelling of 82777150653760 in words is "eighty-two trillion, seven hundred seventy-seven billion, one hundred fifty million, six hundred fifty-three thousand, seven hundred sixty".