120782464 has 64 divisors (see below), whose sum is σ = 265240800. Its totient is φ = 54328320.

The previous prime is 120782443. The next prime is 120782471. The reversal of 120782464 is 464287021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120782464² = 29176807219822592, which contains 22 as substring.

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, 153079 + ... + 153865.

Almost surely, 2^120782464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132620400).

120782464 is an abundant number, since it is smaller than the sum of its proper divisors (144458336).

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

120782464 is a wasteful number, since it uses less digits than its factorization.

120782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 120782464 is about 10990.1075517940. The cubic root of 120782464 is about 494.3121609883.

The spelling of 120782464 in words is "one hundred twenty million, seven hundred eighty-two thousand, four hundred sixty-four".