82733840 has 40 divisors (see below), whose sum is σ = 219837120. Its totient is φ = 28365696.

The previous prime is 82733821. The next prime is 82733851. The reversal of 82733840 is 4833728.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×82733840² = 13689776562291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82733840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73310 + ... + 74429.

It is an arithmetic number, because the mean of its divisors is an integer number (5495928).

Almost surely, 2^82733840 is an apocalyptic number.

82733840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82733840 is an abundant number, since it is smaller than the sum of its proper divisors (137103280).

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

82733840 is a wasteful number, since it uses less digits than its factorization.

82733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147759 (or 147753 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 82733840 is about 9095.8144220295. The cubic root of 82733840 is about 435.7402992877.

The spelling of 82733840 in words is "eighty-two million, seven hundred thirty-three thousand, eight hundred forty".