757620864 has 640 divisors, whose sum is σ = 3068714880. Its totient is φ = 179159040.

The previous prime is 757620863. The next prime is 757620881. The reversal of 757620864 is 468026757.

It is not an unprimeable number, because it can be changed into a prime (757620863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10378332 + ... + 10378404.

It is an arithmetic number, because the mean of its divisors is an integer number (4794867).

Almost surely, 2^757620864 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 757620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534357440).

757620864 is an abundant number, since it is smaller than the sum of its proper divisors (2311094016).

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

757620864 is a wasteful number, since it uses less digits than its factorization.

757620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 757620864 is about 27524.9135148505. The cubic root of 757620864 is about 911.6272715117.

The spelling of 757620864 in words is "seven hundred fifty-seven million, six hundred twenty thousand, eight hundred sixty-four".