82748400 has 120 divisors (see below), whose sum is σ = 302968704. Its totient is φ = 18912000.

The previous prime is 82748399. The next prime is 82748429. The reversal of 82748400 is 484728.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3475 + ... + 13325.

Almost surely, 2^82748400 is an apocalyptic number.

82748400 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 82748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484352).

82748400 is an abundant number, since it is smaller than the sum of its proper divisors (220220304).

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

82748400 is a wasteful number, since it uses less digits than its factorization.

82748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 82748400 is about 9096.6147549514. The cubic root of 82748400 is about 435.7658591900.

The spelling of 82748400 in words is "eighty-two million, seven hundred forty-eight thousand, four hundred".