82769800 has 24 divisors (see below), whose sum is σ = 192440250. Its totient is φ = 33107840.

The previous prime is 82769789. The next prime is 82769831. The reversal of 82769800 is 896728.

It can be written as a sum of positive squares in 3 ways, for example, as 80317444 + 2452356 = 8962^2 + 1566^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206725 + ... + 207124.

Almost surely, 2^82769800 is an apocalyptic number.

It is an amenable number.

82769800 is an abundant number, since it is smaller than the sum of its proper divisors (109670450).

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

82769800 is a wasteful number, since it uses less digits than its factorization.

82769800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413865 (or 413856 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 82769800 is about 9097.7909406625. The cubic root of 82769800 is about 435.8034211876.

The spelling of 82769800 in words is "eighty-two million, seven hundred sixty-nine thousand, eight hundred".