76884096 has 64 divisors (see below), whose sum is σ = 205166880. Its totient is φ = 25509888.

The previous prime is 76884091. The next prime is 76884107. The reversal of 76884096 is 69048867.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×76884096² = 11822328435474432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (76884091) 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, 132960 + ... + 133536.

Almost surely, 2^76884096 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 76884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102583440).

76884096 is an abundant number, since it is smaller than the sum of its proper divisors (128282784).

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

76884096 is a wasteful number, since it uses less digits than its factorization.

76884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 76884096 is about 8768.3576569390. The cubic root of 76884096 is about 425.2185192295.

The spelling of 76884096 in words is "seventy-six million, eight hundred eighty-four thousand, ninety-six".