764380800 has 288 divisors, whose sum is σ = 2831381280. Its totient is φ = 203627520.

The previous prime is 764380783. The next prime is 764380801. The reversal of 764380800 is 8083467.

764380800 is a `hidden beast` number, since 7 + 643 + 8 + 0 + 8 + 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 not an unprimeable number, because it can be changed into a prime (764380801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 777109 + ... + 778091.

It is an arithmetic number, because the mean of its divisors is an integer number (9831185).

Almost surely, 2^764380800 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 764380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415690640).

764380800 is an abundant number, since it is smaller than the sum of its proper divisors (2067000480).

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

764380800 is an equidigital number, since it uses as much as digits as its factorization.

764380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 993 counting only the distinct ones).

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

The square root of 764380800 is about 27647.4374942778. The cubic root of 764380800 is about 914.3306041948.

The spelling of 764380800 in words is "seven hundred sixty-four million, three hundred eighty thousand, eight hundred".