764979840 has 192 divisors, whose sum is σ = 2687536800. Its totient is φ = 200448000.

The previous prime is 764979811. The next prime is 764979841. The reversal of 764979840 is 48979467.

It is a happy number.

764979840 is a `hidden beast` number, since 76 + 497 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (764979841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338715 + ... + 340965.

Almost surely, 2^764979840 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 764979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343768400).

764979840 is an abundant number, since it is smaller than the sum of its proper divisors (1922556960).

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

764979840 is a wasteful number, since it uses less digits than its factorization.

764979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 764979840 is about 27658.2689263085. The cubic root of 764979840 is about 914.5693933715.

The spelling of 764979840 in words is "seven hundred sixty-four million, nine hundred seventy-nine thousand, eight hundred forty".