82807452 has 216 divisors, whose sum is σ = 275367456. Its totient is φ = 20756736.

The previous prime is 82807447. The next prime is 82807463. The reversal of 82807452 is 25470828.

It is a happy number.

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

82807452 is a modest number, since divided by 7452 gives 828 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527358 + ... + 527514.

Almost surely, 2^82807452 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 82807452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137683728).

82807452 is an abundant number, since it is smaller than the sum of its proper divisors (192560004).

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

82807452 is a wasteful number, since it uses less digits than its factorization.

82807452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82807452 is about 9099.8599989231. The cubic root of 82807452 is about 435.8694935269.

The spelling of 82807452 in words is "eighty-two million, eight hundred seven thousand, four hundred fifty-two".