890297760 has 96 divisors (see below), whose sum is σ = 3059404992. Its totient is φ = 215828480.

The previous prime is 890297741. The next prime is 890297761. The reversal of 890297760 is 67792098.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×890297760² = 1585260202922035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (890297761) 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 15 ways as a sum of consecutive naturals, for example, 79029 + ... + 89588.

It is an arithmetic number, because the mean of its divisors is an integer number (31868802).

Almost surely, 2^890297760 is an apocalyptic number.

890297760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

890297760 is an abundant number, since it is smaller than the sum of its proper divisors (2169107232).

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

890297760 is a wasteful number, since it uses less digits than its factorization.

890297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168646 (or 168638 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 890297760 is about 29837.8578319557. The cubic root of 890297760 is about 962.0074313305.

The spelling of 890297760 in words is "eight hundred ninety million, two hundred ninety-seven thousand, seven hundred sixty".