80825364 has 60 divisors (see below), whose sum is σ = 212234484. Its totient is φ = 26822016.

The previous prime is 80825363. The next prime is 80825377. The reversal of 80825364 is 46352808.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 67076100 = 3708^2 + 8190^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80825363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101014 + ... + 101810.

Almost surely, 2^80825364 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 80825364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106117242).

80825364 is an abundant number, since it is smaller than the sum of its proper divisors (131409120).

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

80825364 is a wasteful number, since it uses less digits than its factorization.

80825364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 80825364 is about 8990.2927649771. The cubic root of 80825364 is about 432.3636983481.

The spelling of 80825364 in words is "eighty million, eight hundred twenty-five thousand, three hundred sixty-four".