390378120 has 128 divisors (see below), whose sum is σ = 1312295040. Its totient is φ = 92067840.

The previous prime is 390378073. The next prime is 390378127. The reversal of 390378120 is 21873093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (390378127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44844 + ... + 52836.

It is an arithmetic number, because the mean of its divisors is an integer number (10252305).

Almost surely, 2^390378120 is an apocalyptic number.

390378120 is a gapful number since it is divisible by the number (30) 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 390378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656147520).

390378120 is an abundant number, since it is smaller than the sum of its proper divisors (921916920).

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

390378120 is a wasteful number, since it uses less digits than its factorization.

390378120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 390378120 is about 19757.9887640417. The cubic root of 390378120 is about 730.8504007117.

The spelling of 390378120 in words is "three hundred ninety million, three hundred seventy-eight thousand, one hundred twenty".