76045824 has 80 divisors (see below), whose sum is σ = 225141840. Its totient is φ = 25344000.

The previous prime is 76045819. The next prime is 76045873. The reversal of 76045824 is 42854067.

76045824 is a `hidden beast` number, since 76 + 0 + 4 + 582 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11074 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (2814273).

Almost surely, 2^76045824 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 76045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112570920).

76045824 is an abundant number, since it is smaller than the sum of its proper divisors (149096016).

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

76045824 is an equidigital number, since it uses as much as digits as its factorization.

76045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 76045824 is about 8720.4256776834. The cubic root of 76045824 is about 423.6674739438.

The spelling of 76045824 in words is "seventy-six million, forty-five thousand, eight hundred twenty-four".