76456923840 has 1120 divisors, whose sum is σ = 315463610880. Its totient is φ = 17396121600.

The previous prime is 76456923791. The next prime is 76456923847. The reversal of 76456923840 is 4832965467.

76456923840 is a `hidden beast` number, since 7 + 6 + 4 + 569 + 2 + 38 + 40 = 666.

It is a super-2 number, since 2×76456923840² (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 not an unprimeable number, because it can be changed into a prime (76456923847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 583640575 + ... + 583640705.

Almost surely, 2^76456923840 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 76456923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157731805440).

76456923840 is an abundant number, since it is smaller than the sum of its proper divisors (239006687040).

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

76456923840 is a wasteful number, since it uses less digits than its factorization.

76456923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 76456923840 in words is "seventy-six billion, four hundred fifty-six million, nine hundred twenty-three thousand, eight hundred forty".