76984096 has 72 divisors (see below), whose sum is σ = 182494620. Its totient is φ = 31836672.

The previous prime is 76984091. The next prime is 76984111. The reversal of 76984096 is 69048967.

It can be written as a sum of positive squares in 2 ways, for example, as 76807696 + 176400 = 8764^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (76984091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44626 + ... + 46318.

Almost surely, 2^76984096 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 76984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91247310).

76984096 is an abundant number, since it is smaller than the sum of its proper divisors (105510524).

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

76984096 is a wasteful number, since it uses less digits than its factorization.

76984096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 76984096 is about 8774.0581260897. The cubic root of 76984096 is about 425.4027941401.

The spelling of 76984096 in words is "seventy-six million, nine hundred eighty-four thousand, ninety-six".