82758400 has 108 divisors (see below), whose sum is σ = 208974472. Its totient is φ = 32440320.

The previous prime is 82758371. The next prime is 82758409. The reversal of 82758400 is 485728.

It is not an unprimeable number, because it can be changed into a prime (82758409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428704 + ... + 428896.

Almost surely, 2^82758400 is an apocalyptic number.

82758400 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 82758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104487236).

82758400 is an abundant number, since it is smaller than the sum of its proper divisors (126216072).

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

82758400 is a wasteful number, since it uses less digits than its factorization.

82758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 82758400 is about 9097.1643933701. The cubic root of 82758400 is about 435.7834123313.

The spelling of 82758400 in words is "eighty-two million, seven hundred fifty-eight thousand, four hundred".