76042008 has 144 divisors (see below), whose sum is σ = 244754640. Its totient is φ = 20891520.

The previous prime is 76041989. The next prime is 76042013. The reversal of 76042008 is 80024067.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484266 + ... + 484422.

It is an arithmetic number, because the mean of its divisors is an integer number (1699685).

Almost surely, 2^76042008 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 76042008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122377320).

76042008 is an abundant number, since it is smaller than the sum of its proper divisors (168712632).

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

76042008 is a wasteful number, since it uses less digits than its factorization.

76042008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76042008 is about 8720.2068782799. The cubic root of 76042008 is about 423.6603872425.

The spelling of 76042008 in words is "seventy-six million, forty-two thousand, eight".