390761280 has 672 divisors, whose sum is σ = 1751258880. Its totient is φ = 81285120.

The previous prime is 390761279. The next prime is 390761311. The reversal of 390761280 is 82167093.

390761280 is a `hidden beast` number, since 39 + 0 + 7 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503645 + ... + 5503715.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^390761280 is an apocalyptic number.

390761280 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 390761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

390761280 is an abundant number, since it is smaller than the sum of its proper divisors (1360497600).

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

390761280 is a wasteful number, since it uses less digits than its factorization.

390761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 390761280 is about 19767.6827170005. The cubic root of 390761280 is about 731.0894348317.

The spelling of 390761280 in words is "three hundred ninety million, seven hundred sixty-one thousand, two hundred eighty".