927079920 has 360 divisors, whose sum is σ = 3557651760. Its totient is φ = 215654400.

The previous prime is 927079919. The next prime is 927079927. The reversal of 927079920 is 29970729.

927079920 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927079927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2311720 + ... + 2312120.

It is an arithmetic number, because the mean of its divisors is an integer number (9882366).

Almost surely, 2^927079920 is an apocalyptic number.

927079920 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 927079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778825880).

927079920 is an abundant number, since it is smaller than the sum of its proper divisors (2630571840).

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

927079920 is a wasteful number, since it uses less digits than its factorization.

927079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 927079920 is about 30447.9871255884. The cubic root of 927079920 is about 975.0773272004.

The spelling of 927079920 in words is "nine hundred twenty-seven million, seventy-nine thousand, nine hundred twenty".