76113024 has 128 divisors (see below), whose sum is σ = 221625600. Its totient is φ = 23003136.

The previous prime is 76113019. The next prime is 76113041. The reversal of 76113024 is 42031167.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 76112985 and 76113003.

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, 394272 + ... + 394464.

It is an arithmetic number, because the mean of its divisors is an integer number (1731450).

Almost surely, 2^76113024 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 76113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110812800).

76113024 is an abundant number, since it is smaller than the sum of its proper divisors (145512576).

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

76113024 is a wasteful number, since it uses less digits than its factorization.

76113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 76113024 is about 8724.2778497707. The cubic root of 76113024 is about 423.7922323707.

The spelling of 76113024 in words is "seventy-six million, one hundred thirteen thousand, twenty-four".