890080859304 has 1280 divisors, whose sum is σ = 3408599040000. Its totient is φ = 214806090240.

The previous prime is 890080859303. The next prime is 890080859333. The reversal of 890080859304 is 403958080098.

It is a happy number.

890080859304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×890080859304³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (890080859303) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1701875187 + ... + 1701875709.

It is an arithmetic number, because the mean of its divisors is an integer number (2662968000).

Almost surely, 2^890080859304 is an apocalyptic number.

890080859304 is a gapful number since it is divisible by the number (84) 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 890080859304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704299520000).

890080859304 is an abundant number, since it is smaller than the sum of its proper divisors (2518518180696).

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

890080859304 is a wasteful number, since it uses less digits than its factorization.

890080859304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 890080859304 in words is "eight hundred ninety billion, eighty million, eight hundred fifty-nine thousand, three hundred four".