76984320 has 208 divisors, whose sum is σ = 283080960. Its totient is φ = 17498112.

The previous prime is 76984307. The next prime is 76984331. The reversal of 76984320 is 2348967.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429991 + ... + 430169.

Almost surely, 2^76984320 is an apocalyptic number.

76984320 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 76984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

76984320 is an abundant number, since it is smaller than the sum of its proper divisors (206096640).

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

76984320 is a wasteful number, since it uses less digits than its factorization.

76984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 76984320 is about 8774.0708909833. The cubic root of 76984320 is about 425.4032067367.

The spelling of 76984320 in words is "seventy-six million, nine hundred eighty-four thousand, three hundred twenty".