80829252 has 120 divisors (see below), whose sum is σ = 244098624. Its totient is φ = 22845888.

The previous prime is 80829241. The next prime is 80829253. The reversal of 80829252 is 25292808.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (80829253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355963 + ... + 356189.

Almost surely, 2^80829252 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 80829252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122049312).

80829252 is an abundant number, since it is smaller than the sum of its proper divisors (163269372).

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

80829252 is a wasteful number, since it uses less digits than its factorization.

80829252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80829252 is about 8990.5089956020. The cubic root of 80829252 is about 432.3706310032.

The spelling of 80829252 in words is "eighty million, eight hundred twenty-nine thousand, two hundred fifty-two".