80825340 has 48 divisors (see below), whose sum is σ = 228114432. Its totient is φ = 21381696.

The previous prime is 80825299. The next prime is 80825341. The reversal of 80825340 is 4352808.

It is a super-2 number, since 2×80825340² = 13065471172231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80825298 and 80825307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80825341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (4752384).

Almost surely, 2^80825340 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 80825340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057216).

80825340 is an abundant number, since it is smaller than the sum of its proper divisors (147289092).

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

80825340 is a wasteful number, since it uses less digits than its factorization.

80825340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 80825340 is about 8990.2914302040. The cubic root of 80825340 is about 432.3636555533.

The spelling of 80825340 in words is "eighty million, eight hundred twenty-five thousand, three hundred forty".