76785319872 has 140 divisors (see below), whose sum is σ = 227734145496. Its totient is φ = 25581795840.

The previous prime is 76785319843. The next prime is 76785319883. The reversal of 76785319872 is 27891358767.

76785319872 is a `hidden beast` number, since 7 + 6 + 7 + 8 + 531 + 98 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19132138 + ... + 19136150.

Almost surely, 2^76785319872 is an apocalyptic number.

76785319872 is a gapful number since it is divisible by the number (72) 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 76785319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113867072748).

76785319872 is an abundant number, since it is smaller than the sum of its proper divisors (150948825624).

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

76785319872 is a wasteful number, since it uses less digits than its factorization.

76785319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728 (or 7709 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 76785319872 in words is "seventy-six billion, seven hundred eighty-five million, three hundred nineteen thousand, eight hundred seventy-two".