76885920 has 144 divisors (see below), whose sum is σ = 265356000. Its totient is φ = 20270592.

The previous prime is 76885903. The next prime is 76885933. The reversal of 76885920 is 2958867.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×76885920² = 11822889388492800, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153831 + ... + 154329.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^76885920 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 76885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132678000).

76885920 is an abundant number, since it is smaller than the sum of its proper divisors (188470080).

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

76885920 is a wasteful number, since it uses less digits than its factorization.

76885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 76885920 is about 8768.4616666779. The cubic root of 76885920 is about 425.2218818341.

The spelling of 76885920 in words is "seventy-six million, eight hundred eighty-five thousand, nine hundred twenty".