76819992480 has 288 divisors, whose sum is σ = 326834621568. Its totient is φ = 15962572800.

The previous prime is 76819992449. The next prime is 76819992499. The reversal of 76819992480 is 8429991867.

76819992480 is a `hidden beast` number, since 7 + 68 + 1 + 9 + 9 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×76819992480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235531 + ... + 457290.

It is an arithmetic number, because the mean of its divisors is an integer number (1134842436).

Almost surely, 2^76819992480 is an apocalyptic number.

76819992480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76819992480 is an abundant number, since it is smaller than the sum of its proper divisors (250014629088).

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

76819992480 is a wasteful number, since it uses less digits than its factorization.

76819992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692860 (or 692849 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 76819992480 in words is "seventy-six billion, eight hundred nineteen million, nine hundred ninety-two thousand, four hundred eighty".