900782624 has 96 divisors (see below), whose sum is σ = 2121993216. Its totient is φ = 368271360.

The previous prime is 900782579. The next prime is 900782651. The reversal of 900782624 is 426287009.

It is a super-2 number, since 2×900782624² = 1622818671400650752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506024 + ... + 507800.

It is an arithmetic number, because the mean of its divisors is an integer number (22104096).

Almost surely, 2^900782624 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 900782624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060996608).

900782624 is an abundant number, since it is smaller than the sum of its proper divisors (1221210592).

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

900782624 is a wasteful number, since it uses less digits than its factorization.

900782624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 900782624 is about 30013.0408989159. The cubic root of 900782624 is about 965.7691609933.

The spelling of 900782624 in words is "nine hundred million, seven hundred eighty-two thousand, six hundred twenty-four".