76978320 has 80 divisors (see below), whose sum is σ = 244484352. Its totient is φ = 20024320.

The previous prime is 76978289. The next prime is 76978333. The reversal of 76978320 is 2387967.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5929 + ... + 13751.

Almost surely, 2^76978320 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 76978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122242176).

76978320 is an abundant number, since it is smaller than the sum of its proper divisors (167506032).

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

76978320 is a wasteful number, since it uses less digits than its factorization.

76978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 76978320 is about 8773.7289677765. The cubic root of 76978320 is about 425.3921547651.

The spelling of 76978320 in words is "seventy-six million, nine hundred seventy-eight thousand, three hundred twenty".