764964000 has 288 divisors, whose sum is σ = 2818984896. Its totient is φ = 203731200.

The previous prime is 764963993. The next prime is 764964077. The reversal of 764964000 is 469467.

764964000 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971607 + ... + 972393.

It is an arithmetic number, because the mean of its divisors is an integer number (9788142).

Almost surely, 2^764964000 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 764964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409492448).

764964000 is an abundant number, since it is smaller than the sum of its proper divisors (2054020896).

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

764964000 is an equidigital number, since it uses as much as digits as its factorization.

764964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 764964000 is about 27657.9825728487. The cubic root of 764964000 is about 914.5630808395.

The spelling of 764964000 in words is "seven hundred sixty-four million, nine hundred sixty-four thousand".