82740800 has 42 divisors (see below), whose sum is σ = 203598018. Its totient is φ = 33095680.

The previous prime is 82740793. The next prime is 82740803. The reversal of 82740800 is 804728.

It can be written as a sum of positive squares in 3 ways, for example, as 9193024 + 73547776 = 3032^2 + 8576^2 .

It is not an unprimeable number, because it can be changed into a prime (82740803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24257 + ... + 27456.

Almost surely, 2^82740800 is an apocalyptic number.

82740800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82740800 is an abundant number, since it is smaller than the sum of its proper divisors (120857218).

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

82740800 is a wasteful number, since it uses less digits than its factorization.

82740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51735 (or 51720 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82740800 is about 9096.1970075411. The cubic root of 82740800 is about 435.7525178568.

Subtracting from 82740800 its product of nonzero digits (3584), we obtain a square (82737216 = 9096²).

The spelling of 82740800 in words is "eighty-two million, seven hundred forty thousand, eight hundred".