120769920 has 256 divisors, whose sum is σ = 444312000. Its totient is φ = 30965760.

The previous prime is 120769889. The next prime is 120769927. The reversal of 120769920 is 29967021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120769927) 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, 501000 + ... + 501240.

Almost surely, 2^120769920 is an apocalyptic number.

120769920 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 120769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222156000).

120769920 is an abundant number, since it is smaller than the sum of its proper divisors (323542080).

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

120769920 is a wasteful number, since it uses less digits than its factorization.

120769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 120769920 is about 10989.5368419238. The cubic root of 120769920 is about 494.2950479456.

The spelling of 120769920 in words is "one hundred twenty million, seven hundred sixty-nine thousand, nine hundred twenty".