900370680 has 192 divisors, whose sum is σ = 3022185600. Its totient is φ = 214368000.

The previous prime is 900370657. The next prime is 900370699. The reversal of 900370680 is 86073009.

It is a happy number.

900370680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900370680² = 1621334722807324800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856155 + ... + 857205.

It is an arithmetic number, because the mean of its divisors is an integer number (15740550).

Almost surely, 2^900370680 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 900370680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511092800).

900370680 is an abundant number, since it is smaller than the sum of its proper divisors (2121814920).

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

900370680 is a wasteful number, since it uses less digits than its factorization.

900370680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 900370680 is about 30006.1773640029. The cubic root of 900370680 is about 965.6219173769.

The spelling of 900370680 in words is "nine hundred million, three hundred seventy thousand, six hundred eighty".