76844160 has 128 divisors (see below), whose sum is σ = 272217600. Its totient is φ = 20487168.

The previous prime is 76844149. The next prime is 76844161. The reversal of 76844160 is 6144867.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×76844160² = 11810049852211200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76844161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15057 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (2126700).

Almost surely, 2^76844160 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 76844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136108800).

76844160 is an abundant number, since it is smaller than the sum of its proper divisors (195373440).

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

76844160 is a wasteful number, since it uses less digits than its factorization.

76844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76844160 is about 8766.0800817697. The cubic root of 76844160 is about 425.1448825532.

The spelling of 76844160 in words is "seventy-six million, eight hundred forty-four thousand, one hundred sixty".