764049600 has 252 divisors, whose sum is σ = 2748624424. Its totient is φ = 201277440.

The previous prime is 764049563. The next prime is 764049607. The reversal of 764049600 is 6940467.

764049600 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 49 + 600 = 666.

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 (764049607) 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, 1396527 + ... + 1397073.

Almost surely, 2^764049600 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 764049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374312212).

764049600 is an abundant number, since it is smaller than the sum of its proper divisors (1984574824).

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

764049600 is a wasteful number, since it uses less digits than its factorization.

764049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

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

The square root of 764049600 is about 27641.4471401191. The cubic root of 764049600 is about 914.1985277724.

The spelling of 764049600 in words is "seven hundred sixty-four million, forty-nine thousand, six hundred".