82801152 has 240 divisors, whose sum is σ = 291088512. Its totient is φ = 22118400.

The previous prime is 82801141. The next prime is 82801157. The reversal of 82801152 is 25110828.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82801157) 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, 548277 + ... + 548427.

Almost surely, 2^82801152 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 82801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

82801152 is an abundant number, since it is smaller than the sum of its proper divisors (208287360).

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

82801152 is a wasteful number, since it uses less digits than its factorization.

82801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82801152 is about 9099.5138331671. The cubic root of 82801152 is about 435.8584395803.

The spelling of 82801152 in words is "eighty-two million, eight hundred one thousand, one hundred fifty-two".