390929347600080 has 160 divisors (see below), whose sum is σ = 1227343940960256. Its totient is φ = 102919444111872.

The previous prime is 390929347600037. The next prime is 390929347600111. The reversal of 390929347600080 is 80006743929093.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 390929347599987 and 390929347600023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21450529 + ... + 35241791.

Almost surely, 2^{390929347600080} is an apocalyptic number.

390929347600080 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 390929347600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613671970480128).

390929347600080 is an abundant number, since it is smaller than the sum of its proper divisors (836414593360176).

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

390929347600080 is a wasteful number, since it uses less digits than its factorization.

390929347600080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792785 (or 13792779 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 390929347600080 in words is "three hundred ninety trillion, nine hundred twenty-nine billion, three hundred forty-seven million, six hundred thousand, eighty".