900910080 has 704 divisors, whose sum is σ = 3930240000. Its totient is φ = 195084288.

The previous prime is 900910079. The next prime is 900910123. The reversal of 900910080 is 80019009.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47416311 + ... + 47416329.

Almost surely, 2^900910080 is an apocalyptic number.

900910080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965120000).

900910080 is an abundant number, since it is smaller than the sum of its proper divisors (3029329920).

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

900910080 is a wasteful number, since it uses less digits than its factorization.

900910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 900910080 is about 30015.1641674671. The cubic root of 900910080 is about 965.8147092627.

Adding to 900910080 its reverse (80019009), we get a palindrome (980929089).

The spelling of 900910080 in words is "nine hundred million, nine hundred ten thousand, eighty".