78240992256 has 1056 divisors, whose sum is σ = 293919068160. Its totient is φ = 20692869120.

The previous prime is 78240992213. The next prime is 78240992257. The reversal of 78240992256 is 65229904287.

78240992256 is a `hidden beast` number, since 7 + 8 + 2 + 409 + 9 + 225 + 6 = 666.

It is a super-2 number, since 2×78240992256² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78240992257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2523902961 + ... + 2523902991.

Almost surely, 2^78240992256 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 78240992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146959534080).

78240992256 is an abundant number, since it is smaller than the sum of its proper divisors (215678075904).

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

78240992256 is an equidigital number, since it uses as much as digits as its factorization.

78240992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 78240992256 in words is "seventy-eight billion, two hundred forty million, nine hundred ninety-two thousand, two hundred fifty-six".