76092480 has 112 divisors (see below), whose sum is σ = 268467840. Its totient is φ = 20289024.

The previous prime is 76092463. The next prime is 76092509. The reversal of 76092480 is 8429067.

76092480 is a `hidden beast` number, since 7 + 609 + 2 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237 + ... + 13043.

Almost surely, 2^76092480 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 76092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134233920).

76092480 is an abundant number, since it is smaller than the sum of its proper divisors (192375360).

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

76092480 is a wasteful number, since it uses less digits than its factorization.

76092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76092480 is about 8723.1003662689. The cubic root of 76092480 is about 423.7540997332.

The spelling of 76092480 in words is "seventy-six million, ninety-two thousand, four hundred eighty".