76164000 has 192 divisors, whose sum is σ = 272668032. Its totient is φ = 18432000.

The previous prime is 76163987. The next prime is 76164001. The reversal of 76164000 is 46167.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (76164001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131712 + ... + 132288.

It is an arithmetic number, because the mean of its divisors is an integer number (1420146).

Almost surely, 2^76164000 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 76164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136334016).

76164000 is an abundant number, since it is smaller than the sum of its proper divisors (196504032).

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

76164000 is a wasteful number, since it uses less digits than its factorization.

76164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 76164000 is about 8727.1988633238. The cubic root of 76164000 is about 423.8868215779.

The spelling of 76164000 in words is "seventy-six million, one hundred sixty-four thousand".