764160000 has 240 divisors, whose sum is σ = 2558556000. Its totient is φ = 202752000.

The previous prime is 764159999. The next prime is 764160017. The reversal of 764160000 is 61467.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839901 + ... + 3840099.

It is an arithmetic number, because the mean of its divisors is an integer number (10660650).

Almost surely, 2^764160000 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 764160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279278000).

764160000 is an abundant number, since it is smaller than the sum of its proper divisors (1794396000).

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

764160000 is an equidigital number, since it uses as much as digits as its factorization.

764160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

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

The square root of 764160000 is about 27643.4440690736. Note that the first 3 decimals coincide. The cubic root of 764160000 is about 914.2425574867.

The spelling of 764160000 in words is "seven hundred sixty-four million, one hundred sixty thousand".