891982080 has 216 divisors, whose sum is σ = 3367203840. Its totient is φ = 216207360.

The previous prime is 891982031. The next prime is 891982081. The reversal of 891982080 is 80289198.

It is a super-2 number, since 2×891982080² = 1591264062082252800, which contains 22 as substring.

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 (891982081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123201 + ... + 130239.

Almost surely, 2^891982080 is an apocalyptic number.

891982080 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 891982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683601920).

891982080 is an abundant number, since it is smaller than the sum of its proper divisors (2475221760).

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

891982080 is a wasteful number, since it uses less digits than its factorization.

891982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 891982080 is about 29866.0690416399. The cubic root of 891982080 is about 962.6137107461.

The spelling of 891982080 in words is "eight hundred ninety-one million, nine hundred eighty-two thousand, eighty".