120900780 has 432 divisors, whose sum is σ = 504259392. Its totient is φ = 22809600.

The previous prime is 120900751. The next prime is 120900803. The reversal of 120900780 is 87009021.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1981950 + ... + 1982010.

Almost surely, 2^120900780 is an apocalyptic number.

120900780 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 120900780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252129696).

120900780 is an abundant number, since it is smaller than the sum of its proper divisors (383358612).

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

120900780 is a wasteful number, since it uses less digits than its factorization.

120900780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 120900780 is about 10995.4890750707. The cubic root of 120900780 is about 494.4735142985.

The spelling of 120900780 in words is "one hundred twenty million, nine hundred thousand, seven hundred eighty".