82773440 has 56 divisors (see below), whose sum is σ = 202460352. Its totient is φ = 32209920.

The previous prime is 82773421. The next prime is 82773451. The reversal of 82773440 is 4437728.

It is a self number, because there is not a number n which added to its sum of digits gives 82773440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8345 + ... + 15335.

Almost surely, 2^82773440 is an apocalyptic number.

82773440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101230176).

82773440 is an abundant number, since it is smaller than the sum of its proper divisors (119686912).

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

82773440 is a wasteful number, since it uses less digits than its factorization.

82773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 82773440 is about 9097.9909870257. The cubic root of 82773440 is about 435.8098095934.

The spelling of 82773440 in words is "eighty-two million, seven hundred seventy-three thousand, four hundred forty".