82779573240 has 1152 divisors, whose sum is σ = 361431383040. Its totient is φ = 16652832768.

The previous prime is 82779573199. The next prime is 82779573257. The reversal of 82779573240 is 4237597728.

82779573240 is a `hidden beast` number, since 8 + 27 + 7 + 9 + 573 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 264471324 + ... + 264471636.

It is an arithmetic number, because the mean of its divisors is an integer number (313742520).

Almost surely, 2^82779573240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82779573240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180715691520).

82779573240 is an abundant number, since it is smaller than the sum of its proper divisors (278651809800).

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

82779573240 is a wasteful number, since it uses less digits than its factorization.

82779573240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 82779573240 in words is "eighty-two billion, seven hundred seventy-nine million, five hundred seventy-three thousand, two hundred forty".