76282164 has 72 divisors (see below), whose sum is σ = 221381888. Its totient is φ = 21695040.

The previous prime is 76282159. The next prime is 76282177. The reversal of 76282164 is 46128267.

76282164 is a `hidden beast` number, since 7 + 628 + 21 + 6 + 4 = 666.

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

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, 67734 + ... + 68850.

Almost surely, 2^76282164 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 76282164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110690944).

76282164 is an abundant number, since it is smaller than the sum of its proper divisors (145099724).

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

76282164 is a wasteful number, since it uses less digits than its factorization.

76282164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1400 counting only the distinct ones).

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

The square root of 76282164 is about 8733.9661093915. The cubic root of 76282164 is about 424.1059201972.

The spelling of 76282164 in words is "seventy-six million, two hundred eighty-two thousand, one hundred sixty-four".