764646240 has 96 divisors (see below), whose sum is σ = 2423312640. Its totient is φ = 202663424.

The previous prime is 764646209. The next prime is 764646251. The reversal of 764646240 is 42646467.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×764646240² = 1169367744692275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75391 + ... + 84929.

It is an arithmetic number, because the mean of its divisors is an integer number (25242840).

Almost surely, 2^764646240 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 764646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211656320).

764646240 is an abundant number, since it is smaller than the sum of its proper divisors (1658666400).

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

764646240 is a wasteful number, since it uses less digits than its factorization.

764646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 764646240 is about 27652.2375224863. The cubic root of 764646240 is about 914.4364292092.

The spelling of 764646240 in words is "seven hundred sixty-four million, six hundred forty-six thousand, two hundred forty".