890811480 has 128 divisors (see below), whose sum is σ = 2886347520. Its totient is φ = 218641920.

The previous prime is 890811479. The next prime is 890811517. The reversal of 890811480 is 84118098.

It is a happy number.

It is a super-3 number, since 3×890811480³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 765379 + ... + 766541.

It is an arithmetic number, because the mean of its divisors is an integer number (22549590).

Almost surely, 2^890811480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890811480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443173760).

890811480 is an abundant number, since it is smaller than the sum of its proper divisors (1995536040).

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

890811480 is a wasteful number, since it uses less digits than its factorization.

890811480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 890811480 is about 29846.4651173301. The cubic root of 890811480 is about 962.1924284012.

The spelling of 890811480 in words is "eight hundred ninety million, eight hundred eleven thousand, four hundred eighty".