120776620 has 48 divisors (see below), whose sum is σ = 265079808. Its totient is φ = 46169280.

The previous prime is 120776603. The next prime is 120776633. The reversal of 120776620 is 26677021.

120776620 = 319² + 320² + ... + 733².

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50287 + ... + 52633.

It is an arithmetic number, because the mean of its divisors is an integer number (5522496).

Almost surely, 2^120776620 is an apocalyptic number.

120776620 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 120776620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132539904).

120776620 is an abundant number, since it is smaller than the sum of its proper divisors (144303188).

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

120776620 is a wasteful number, since it uses less digits than its factorization.

120776620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 120776620 is about 10989.8416731089. The cubic root of 120776620 is about 494.3041885097.

The spelling of 120776620 in words is "one hundred twenty million, seven hundred seventy-six thousand, six hundred twenty".