82700352 has 280 divisors, whose sum is σ = 292095936. Its totient is φ = 22643712.

The previous prime is 82700347. The next prime is 82700353. The reversal of 82700352 is 25300728.

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 Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82700353) 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, 1560358 + ... + 1560410.

Almost surely, 2^82700352 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 82700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146047968).

82700352 is an abundant number, since it is smaller than the sum of its proper divisors (209395584).

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

82700352 is a wasteful number, since it uses less digits than its factorization.

82700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 82700352 is about 9093.9733890088. The cubic root of 82700352 is about 435.6815001297.

The spelling of 82700352 in words is "eighty-two million, seven hundred thousand, three hundred fifty-two".