120796320 has 96 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 32076800.

The previous prime is 120796301. The next prime is 120796321. The reversal of 120796320 is 23697021.

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

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

It is not an unprimeable number, because it can be changed into a prime (120796321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171970 + ... + 172670.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^120796320 is an apocalyptic number.

120796320 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 120796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

120796320 is an abundant number, since it is smaller than the sum of its proper divisors (261316320).

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

120796320 is a wasteful number, since it uses less digits than its factorization.

120796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 120796320 is about 10990.7379188115. The cubic root of 120796320 is about 494.3310625385.

It can be divided in two parts, 120 and 796320, that multiplied together give a triangular number (95558400 = T₁₃₈₂₄).

The spelling of 120796320 in words is "one hundred twenty million, seven hundred ninety-six thousand, three hundred twenty".