120783360 has 80 divisors (see below), whose sum is σ = 386153856. Its totient is φ = 32206848.

The previous prime is 120783359. The next prime is 120783371. The reversal of 120783360 is 63387021.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 15543.

Almost surely, 2^120783360 is an apocalyptic number.

120783360 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 120783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193076928).

120783360 is an abundant number, since it is smaller than the sum of its proper divisors (265370496).

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

120783360 is an equidigital number, since it uses as much as digits as its factorization.

120783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15753 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 120783360 is about 10990.1483156507. The cubic root of 120783360 is about 494.3133833032.

The spelling of 120783360 in words is "one hundred twenty million, seven hundred eighty-three thousand, three hundred sixty".