76789680 has 320 divisors, whose sum is σ = 289267200. Its totient is φ = 16629760.

The previous prime is 76789637. The next prime is 76789717. The reversal of 76789680 is 8698767.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301491 + ... + 1301549.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 2^76789680 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 76789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

76789680 is an abundant number, since it is smaller than the sum of its proper divisors (212477520).

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

76789680 is a wasteful number, since it uses less digits than its factorization.

76789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 76789680 is about 8762.9720985520. The cubic root of 76789680 is about 425.0443875208.

The spelling of 76789680 in words is "seventy-six million, seven hundred eighty-nine thousand, six hundred eighty".