890799120 has 120 divisors (see below), whose sum is σ = 3102468096. Its totient is φ = 237541248.

The previous prime is 890799109. The next prime is 890799163. The reversal of 890799120 is 21997098.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472 + ... + 42351.

Almost surely, 2^890799120 is an apocalyptic number.

890799120 is a gapful number since it is divisible by the number (80) 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 890799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551234048).

890799120 is an abundant number, since it is smaller than the sum of its proper divisors (2211668976).

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

890799120 is a wasteful number, since it uses less digits than its factorization.

890799120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45851 (or 45833 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 890799120 is about 29846.2580569156. The cubic root of 890799120 is about 962.1879782440.

The spelling of 890799120 in words is "eight hundred ninety million, seven hundred ninety-nine thousand, one hundred twenty".