890714880 has 540 divisors, whose sum is σ = 3552561936. Its totient is φ = 212889600.

The previous prime is 890714861. The next prime is 890714887. The reversal of 890714880 is 88417098.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (890714887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545245 + ... + 12545315.

Almost surely, 2^890714880 is an apocalyptic number.

890714880 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 890714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776280968).

890714880 is an abundant number, since it is smaller than the sum of its proper divisors (2661847056).

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

890714880 is a wasteful number, since it uses less digits than its factorization.

890714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 890714880 is about 29844.8467913642. The cubic root of 890714880 is about 962.1576469499.

The spelling of 890714880 in words is "eight hundred ninety million, seven hundred fourteen thousand, eight hundred eighty".