764979600 has 480 divisors, whose sum is σ = 3241506816. Its totient is φ = 149299200.

The previous prime is 764979541. The next prime is 764979601. The reversal of 764979600 is 6979467.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 764979600.

It is not an unprimeable number, because it can be changed into a prime (764979601) 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 95 ways as a sum of consecutive naturals, for example, 1570557 + ... + 1571043.

Almost surely, 2^764979600 is an apocalyptic number.

764979600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620753408).

764979600 is an abundant number, since it is smaller than the sum of its proper divisors (2476527216).

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

764979600 is a wasteful number, since it uses less digits than its factorization.

764979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 764979600 is about 27658.2645876418. The cubic root of 764979600 is about 914.5692977277.

The spelling of 764979600 in words is "seven hundred sixty-four million, nine hundred seventy-nine thousand, six hundred".