120769776 has 120 divisors (see below), whose sum is σ = 365698320. Its totient is φ = 37075968.

The previous prime is 120769763. The next prime is 120769799. The reversal of 120769776 is 677967021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100636 + ... + 101828.

It is an arithmetic number, because the mean of its divisors is an integer number (3047486).

Almost surely, 2^120769776 is an apocalyptic number.

120769776 is a gapful number since it is divisible by the number (16) 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 120769776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182849160).

120769776 is an abundant number, since it is smaller than the sum of its proper divisors (244928544).

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

120769776 is a wasteful number, since it uses less digits than its factorization.

120769776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 120769776 is about 10989.5302902353. The cubic root of 120769776 is about 494.2948514879.

The spelling of 120769776 in words is "one hundred twenty million, seven hundred sixty-nine thousand, seven hundred seventy-six".