900772768 has 48 divisors (see below), whose sum is σ = 2042276544. Its totient is φ = 383086080.

The previous prime is 900772739. The next prime is 900772793. The reversal of 900772768 is 867277009.

It is a super-2 number, since 2×900772768² = 1622783159140763648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13996 + ... + 44692.

It is an arithmetic number, because the mean of its divisors is an integer number (42547428).

Almost surely, 2^900772768 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 900772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021138272).

900772768 is an abundant number, since it is smaller than the sum of its proper divisors (1141503776).

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

900772768 is a wasteful number, since it uses less digits than its factorization.

900772768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30845 (or 30837 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 900772768 is about 30012.8767031753. The cubic root of 900772768 is about 965.7656386283.

The spelling of 900772768 in words is "nine hundred million, seven hundred seventy-two thousand, seven hundred sixty-eight".