82752810 has 64 divisors (see below), whose sum is σ = 230860800. Its totient is φ = 18591552.

The previous prime is 82752799. The next prime is 82752829. The reversal of 82752810 is 1825728.

It is a super-2 number, since 2×82752810² = 13696055125792200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9051 + ... + 15729.

It is an arithmetic number, because the mean of its divisors is an integer number (3607200).

Almost surely, 2^82752810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82752810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115430400).

82752810 is an abundant number, since it is smaller than the sum of its proper divisors (148107990).

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

82752810 is a wasteful number, since it uses less digits than its factorization.

82752810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 82752810 is about 9096.8571495874. The cubic root of 82752810 is about 435.7736002996.

The spelling of 82752810 in words is "eighty-two million, seven hundred fifty-two thousand, eight hundred ten".