76579920 has 240 divisors, whose sum is σ = 274839552. Its totient is φ = 19077120.

The previous prime is 76579913. The next prime is 76579939. The reversal of 76579920 is 2997567.

76579920 is a `hidden beast` number, since 76 + 579 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1049004 + ... + 1049076.

Almost surely, 2^76579920 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 76579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137419776).

76579920 is an abundant number, since it is smaller than the sum of its proper divisors (198259632).

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

76579920 is a wasteful number, since it uses less digits than its factorization.

76579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 76579920 is about 8750.9953719563. The cubic root of 76579920 is about 424.6570150885.

The spelling of 76579920 in words is "seventy-six million, five hundred seventy-nine thousand, nine hundred twenty".