390080000 has 200 divisors, whose sum is σ = 1035456048. Its totient is φ = 146432000.

The previous prime is 390079981. The next prime is 390080003. The reversal of 390080000 is 80093.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390080003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7359974 + ... + 7360026.

Almost surely, 2^390080000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517728024).

390080000 is an abundant number, since it is smaller than the sum of its proper divisors (645376048).

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

390080000 is an frugal number, since it uses more digits than its factorization.

390080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 390080000 is about 19750.4430330056. The cubic root of 390080000 is about 730.6643105281.

The spelling of 390080000 in words is "three hundred ninety million, eighty thousand".