390086780160 has 576 divisors, whose sum is σ = 1563720044544. Its totient is φ = 80510976000.

The previous prime is 390086780117. The next prime is 390086780177. The reversal of 390086780160 is 61087680093.

390086780160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44643312 + ... + 44652048.

It is an arithmetic number, because the mean of its divisors is an integer number (2714791744).

Almost surely, 2^390086780160 is an apocalyptic number.

390086780160 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 390086780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781860022272).

390086780160 is an abundant number, since it is smaller than the sum of its proper divisors (1173633264384).

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

390086780160 is a wasteful number, since it uses less digits than its factorization.

390086780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 390086780160 in words is "three hundred ninety billion, eighty-six million, seven hundred eighty thousand, one hundred sixty".