890877113280 has 2688 divisors, whose sum is σ = 4294455459840. Its totient is φ = 170201088000.

The previous prime is 890877113257. The next prime is 890877113297. The reversal of 890877113280 is 82311778098.

It is a happy number.

It is a super-2 number, since 2×890877113280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4664277985 + ... + 4664278175.

It is an arithmetic number, because the mean of its divisors is an integer number (1597639680).

Almost surely, 2^890877113280 is an apocalyptic number.

890877113280 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 890877113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147227729920).

890877113280 is an abundant number, since it is smaller than the sum of its proper divisors (3403578346560).

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

890877113280 is a wasteful number, since it uses less digits than its factorization.

890877113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 890877113280 in words is "eight hundred ninety billion, eight hundred seventy-seven million, one hundred thirteen thousand, two hundred eighty".