76417920 has 96 divisors (see below), whose sum is σ = 263900520. Its totient is φ = 20376576.

The previous prime is 76417919. The next prime is 76417931. The reversal of 76417920 is 2971467.

It is a happy number.

76417920 is a `hidden beast` number, since 7 + 641 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 874 + ... + 12393.

Almost surely, 2^76417920 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 76417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131950260).

76417920 is an abundant number, since it is smaller than the sum of its proper divisors (187482600).

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

76417920 is a wasteful number, since it uses less digits than its factorization.

76417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 76417920 is about 8741.7343816888. The cubic root of 76417920 is about 424.3573586266.

The spelling of 76417920 in words is "seventy-six million, four hundred seventeen thousand, nine hundred twenty".