120782480 has 160 divisors (see below), whose sum is σ = 353977344. Its totient is φ = 37306368.

The previous prime is 120782471. The next prime is 120782483. The reversal of 120782480 is 84287021.

120782480 = 400² + 401² + ... + 752².

It is not an unprimeable number, because it can be changed into a prime (120782483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341984 + ... + 342336.

Almost surely, 2^120782480 is an apocalyptic number.

120782480 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 120782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176988672).

120782480 is an abundant number, since it is smaller than the sum of its proper divisors (233194864).

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

120782480 is a wasteful number, since it uses less digits than its factorization.

120782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 120782480 is about 10990.1082797214. The cubic root of 120782480 is about 494.3121828155.

The spelling of 120782480 in words is "one hundred twenty million, seven hundred eighty-two thousand, four hundred eighty".