80452800 has 252 divisors, whose sum is σ = 295621456. Its totient is φ = 20736000.

The previous prime is 80452777. The next prime is 80452807. The reversal of 80452800 is 825408.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80452807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532725 + ... + 532875.

Almost surely, 2^80452800 is an apocalyptic number.

80452800 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 80452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147810728).

80452800 is an abundant number, since it is smaller than the sum of its proper divisors (215168656).

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

80452800 is a wasteful number, since it uses less digits than its factorization.

80452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 80452800 is about 8969.5484836195. The cubic root of 80452800 is about 431.6983490872.

The spelling of 80452800 in words is "eighty million, four hundred fifty-two thousand, eight hundred".