120793764 has 144 divisors (see below), whose sum is σ = 356794368. Its totient is φ = 31135104.

The previous prime is 120793711. The next prime is 120793781. The reversal of 120793764 is 467397021.

It is a super-2 number, since 2×120793764² = 29182266842575392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951069 + ... + 951195.

Almost surely, 2^120793764 is an apocalyptic number.

120793764 is a gapful number since it is divisible by the number (14) 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 120793764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178397184).

120793764 is an abundant number, since it is smaller than the sum of its proper divisors (236000604).

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

120793764 is a wasteful number, since it uses less digits than its factorization.

120793764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 120793764 is about 10990.6216384698. The cubic root of 120793764 is about 494.3275759006.

The spelling of 120793764 in words is "one hundred twenty million, seven hundred ninety-three thousand, seven hundred sixty-four".