890989768080 has 480 divisors, whose sum is σ = 3270671913600. Its totient is φ = 224796819456.

The previous prime is 890989768043. The next prime is 890989768147. The reversal of 890989768080 is 80867989098.

890989768080 is digitally balanced in base 2, 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471671776 + ... + 471673664.

It is an arithmetic number, because the mean of its divisors is an integer number (6813899820).

Almost surely, 2^890989768080 is an apocalyptic number.

890989768080 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 890989768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635335956800).

890989768080 is an abundant number, since it is smaller than the sum of its proper divisors (2379682145520).

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

890989768080 is a wasteful number, since it uses less digits than its factorization.

890989768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 890989768080 in words is "eight hundred ninety billion, nine hundred eighty-nine million, seven hundred sixty-eight thousand, eighty".