76097984 has 56 divisors (see below), whose sum is σ = 166896288. Its totient is φ = 34242560.

The previous prime is 76097981. The next prime is 76097993. The reversal of 76097984 is 48979067.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76097981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23504 + ... + 26544.

Almost surely, 2^76097984 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 76097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83448144).

76097984 is an abundant number, since it is smaller than the sum of its proper divisors (90798304).

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

76097984 is a wasteful number, since it uses less digits than its factorization.

76097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 76097984 is about 8723.4158447250. The cubic root of 76097984 is about 423.7643166269.

The spelling of 76097984 in words is "seventy-six million, ninety-seven thousand, nine hundred eighty-four".