30079920 has 160 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 7142400.

The previous prime is 30079909. The next prime is 30079943. The reversal of 30079920 is 2997003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96565 + ... + 96875.

Almost surely, 2^30079920 is an apocalyptic number.

30079920 is a gapful number since it is divisible by the number (30) 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 30079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

30079920 is an abundant number, since it is smaller than the sum of its proper divisors (73913424).

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

30079920 is a wasteful number, since it uses less digits than its factorization.

30079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 30079920 is about 5484.5163870664. The cubic root of 30079920 is about 310.9989281849.

The spelling of 30079920 in words is "thirty million, seventy-nine thousand, nine hundred twenty".