76866160 has 80 divisors (see below), whose sum is σ = 205361856. Its totient is φ = 26210304.

The previous prime is 76866157. The next prime is 76866173. The reversal of 76866160 is 6166867.

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 (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177304 + ... + 177736.

Almost surely, 2^76866160 is an apocalyptic number.

76866160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76866160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102680928).

76866160 is an abundant number, since it is smaller than the sum of its proper divisors (128495696).

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

76866160 is a wasteful number, since it uses less digits than its factorization.

76866160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 76866160 is about 8767.3348287835. The cubic root of 76866160 is about 425.1854507845.

The spelling of 76866160 in words is "seventy-six million, eight hundred sixty-six thousand, one hundred sixty".