76058880 has 144 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 19554304.

The previous prime is 76058863. The next prime is 76058891. The reversal of 76058880 is 8885067.

It is a happy number.

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, 111019 + ... + 111701.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 2^76058880 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 76058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

76058880 is an abundant number, since it is smaller than the sum of its proper divisors (175598400).

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

76058880 is a wasteful number, since it uses less digits than its factorization.

76058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 76058880 is about 8721.1742328657. The cubic root of 76058880 is about 423.6917184748.

The spelling of 76058880 in words is "seventy-six million, fifty-eight thousand, eight hundred eighty".