76440611520 has 2688 divisors, whose sum is σ = 385276953600. Its totient is φ = 14046068736.

The previous prime is 76440611479. The next prime is 76440611543. The reversal of 76440611520 is 2511604467.

76440611520 is a `hidden beast` number, since 7 + 6 + 440 + 61 + 152 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1777688619 + ... + 1777688661.

It is an arithmetic number, because the mean of its divisors is an integer number (143332200).

Almost surely, 2^76440611520 is an apocalyptic number.

76440611520 is a gapful number since it is divisible by the number (70) 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 76440611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192638476800).

76440611520 is an abundant number, since it is smaller than the sum of its proper divisors (308836342080).

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

76440611520 is a wasteful number, since it uses less digits than its factorization.

76440611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 76440611520 in words is "seventy-six billion, four hundred forty million, six hundred eleven thousand, five hundred twenty".