764225280 has 648 divisors, whose sum is σ = 3379320672. Its totient is φ = 161243136.

The previous prime is 764225257. The next prime is 764225309. The reversal of 764225280 is 82522467.

764225280 is a `hidden beast` number, since 7 + 642 + 2 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58786554 + ... + 58786566.

Almost surely, 2^764225280 is an apocalyptic number.

764225280 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 764225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689660336).

764225280 is an abundant number, since it is smaller than the sum of its proper divisors (2615095392).

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

764225280 is an frugal number, since it uses more digits than its factorization.

764225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 764225280 is about 27644.6247939812. The cubic root of 764225280 is about 914.2685904531.

The spelling of 764225280 in words is "seven hundred sixty-four million, two hundred twenty-five thousand, two hundred eighty".