120730080 has 96 divisors (see below), whose sum is σ = 384368544. Its totient is φ = 31850496.

The previous prime is 120730079. The next prime is 120730097. The reversal of 120730080 is 80037021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45264 + ... + 47856.

It is an arithmetic number, because the mean of its divisors is an integer number (4003839).

Almost surely, 2^120730080 is an apocalyptic number.

120730080 is a gapful number since it is divisible by the number (10) 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 120730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192184272).

120730080 is an abundant number, since it is smaller than the sum of its proper divisors (263638464).

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

120730080 is a wasteful number, since it uses less digits than its factorization.

120730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 120730080 is about 10987.7240591489. The cubic root of 120730080 is about 494.2406887129.

It can be divided in two parts, 120 and 730080, that multiplied together give a square (87609600 = 9360²).

The spelling of 120730080 in words is "one hundred twenty million, seven hundred thirty thousand, eighty".