390021778080 has 1440 divisors, whose sum is σ = 1597776897024. Its totient is φ = 89413632000.

The previous prime is 390021778073. The next prime is 390021778103. The reversal of 390021778080 is 80877120093.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3451520104 + ... + 3451520216.

Almost surely, 2^390021778080 is an apocalyptic number.

390021778080 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 390021778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798888448512).

390021778080 is an abundant number, since it is smaller than the sum of its proper divisors (1207755118944).

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

390021778080 is a wasteful number, since it uses less digits than its factorization.

390021778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 390021778080 in words is "three hundred ninety billion, twenty-one million, seven hundred seventy-eight thousand, eighty".