890079023520 has 336 divisors, whose sum is σ = 3212283918312. Its totient is φ = 232874403840.

The previous prime is 890079023513. The next prime is 890079023579. The reversal of 890079023520 is 25320970098.

It can be written as a sum of positive squares in 4 ways, for example, as 803339349264 + 86739674256 = 896292^2 + 294516^2 .

It is a super-2 number, since 2×890079023520² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6109930 + ... + 6253910.

Almost surely, 2^890079023520 is an apocalyptic number.

890079023520 is a gapful number since it is divisible by the number (80) 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 890079023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606141959156).

890079023520 is an abundant number, since it is smaller than the sum of its proper divisors (2322204894792).

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

890079023520 is a wasteful number, since it uses less digits than its factorization.

890079023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144067 (or 144044 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 890079023520 in words is "eight hundred ninety billion, seventy-nine million, twenty-three thousand, five hundred twenty".