76698679680 has 640 divisors, whose sum is σ = 331474524480. Its totient is φ = 16498556928.

The previous prime is 76698679657. The next prime is 76698679721. The reversal of 76698679680 is 8697689667.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76698679599 and 76698679608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6162744 + ... + 6175176.

Almost surely, 2^76698679680 is an apocalyptic number.

76698679680 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 76698679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165737262240).

76698679680 is an abundant number, since it is smaller than the sum of its proper divisors (254775844800).

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

76698679680 is a wasteful number, since it uses less digits than its factorization.

76698679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 76698679680 in words is "seventy-six billion, six hundred ninety-eight million, six hundred seventy-nine thousand, six hundred eighty".