390577680 has 320 divisors, whose sum is σ = 1466572800. Its totient is φ = 95178240.

The previous prime is 390577637. The next prime is 390577687. The reversal of 390577680 is 86775093.

It is a happy number.

It is a super-2 number, since 2×390577680² = 305101848228364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (390577687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272087 + ... + 1272393.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2^390577680 is an apocalyptic number.

390577680 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 390577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733286400).

390577680 is an abundant number, since it is smaller than the sum of its proper divisors (1075995120).

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

390577680 is a wasteful number, since it uses less digits than its factorization.

390577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 390577680 is about 19763.0382279648. The cubic root of 390577680 is about 730.9749155971.

The spelling of 390577680 in words is "three hundred ninety million, five hundred seventy-seven thousand, six hundred eighty".