81792000 has 264 divisors, whose sum is σ = 298894752. Its totient is φ = 21504000.

The previous prime is 81791987. The next prime is 81792041. The reversal of 81792000 is 29718.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151965 + ... + 1152035.

Almost surely, 2^81792000 is an apocalyptic number.

81792000 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 81792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149447376).

81792000 is an abundant number, since it is smaller than the sum of its proper divisors (217102752).

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

81792000 is a wasteful number, since it uses less digits than its factorization.

81792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 81792000 is about 9043.8929670801. The cubic root of 81792000 is about 434.0804992715.

The spelling of 81792000 in words is "eighty-one million, seven hundred ninety-two thousand".