120777400 has 48 divisors (see below), whose sum is σ = 281734200. Its totient is φ = 48151680.

The previous prime is 120777389. The next prime is 120777409. The reversal of 120777400 is 4777021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120777409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73791 + ... + 75409.

Almost surely, 2^120777400 is an apocalyptic number.

120777400 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 120777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140867100).

120777400 is an abundant number, since it is smaller than the sum of its proper divisors (160956800).

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

120777400 is a wasteful number, since it uses less digits than its factorization.

120777400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 120777400 is about 10989.8771603690. The cubic root of 120777400 is about 494.3052526131.

The spelling of 120777400 in words is "one hundred twenty million, seven hundred seventy-seven thousand, four hundred".