900762368 has 72 divisors (see below), whose sum is σ = 1973522880. Its totient is φ = 406922240.

The previous prime is 900762349. The next prime is 900762383. The reversal of 900762368 is 863267009.

It is a super-2 number, since 2×900762368² = 1622745687209934848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503171 + ... + 504957.

It is an arithmetic number, because the mean of its divisors is an integer number (27410040).

Almost surely, 2^900762368 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 900762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986761440).

900762368 is an abundant number, since it is smaller than the sum of its proper divisors (1072760512).

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

900762368 is a wasteful number, since it uses less digits than its factorization.

900762368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 900762368 is about 30012.7034437086. The cubic root of 900762368 is about 965.7619218192.

The spelling of 900762368 in words is "nine hundred million, seven hundred sixty-two thousand, three hundred sixty-eight".