764241408 has 480 divisors, whose sum is σ = 2808748800. Its totient is φ = 195084288.

The previous prime is 764241407. The next prime is 764241431. The reversal of 764241408 is 804142467.

764241408 is a `hidden beast` number, since 7 + 6 + 4 + 241 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764241403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17773035 + ... + 17773077.

It is an arithmetic number, because the mean of its divisors is an integer number (5851560).

Almost surely, 2^764241408 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 764241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404374400).

764241408 is an abundant number, since it is smaller than the sum of its proper divisors (2044507392).

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

764241408 is a wasteful number, since it uses less digits than its factorization.

764241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 764241408 is about 27644.9164947192. The cubic root of 764241408 is about 914.2750218988.

The spelling of 764241408 in words is "seven hundred sixty-four million, two hundred forty-one thousand, four hundred eight".