120476800 has 48 divisors (see below), whose sum is σ = 297623250. Its totient is φ = 48189440.

The previous prime is 120476749. The next prime is 120476803. The reversal of 120476800 is 8674021.

It can be written as a sum of positive squares in 3 ways, for example, as 113379904 + 7096896 = 10648^2 + 2664^2 .

It is not an unprimeable number, because it can be changed into a prime (120476803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15625 + ... + 22024.

Almost surely, 2^120476800 is an apocalyptic number.

120476800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120476800 is an abundant number, since it is smaller than the sum of its proper divisors (177146450).

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

120476800 is an equidigital number, since it uses as much as digits as its factorization.

120476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37673 (or 37656 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 120476800 is about 10976.1924181385. The cubic root of 120476800 is about 493.8948237244.

The spelling of 120476800 in words is "one hundred twenty million, four hundred seventy-six thousand, eight hundred".