76563920 has 80 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 27297792.

The previous prime is 76563911. The next prime is 76563979. The reversal of 76563920 is 2936567.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent 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, 24359 + ... + 27321.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 2^76563920 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 76563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

76563920 is an abundant number, since it is smaller than the sum of its proper divisors (121905520).

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

76563920 is a wasteful number, since it uses less digits than its factorization.

76563920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 76563920 is about 8750.0811424809. The cubic root of 76563920 is about 424.6274382077.

The spelling of 76563920 in words is "seventy-six million, five hundred sixty-three thousand, nine hundred twenty".