82753400 has 48 divisors (see below), whose sum is σ = 195690600. Its totient is φ = 32535680.

The previous prime is 82753397. The next prime is 82753409. The reversal of 82753400 is 435728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82753409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8294 + ... + 15306.

Almost surely, 2^82753400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82753400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97845300).

82753400 is an abundant number, since it is smaller than the sum of its proper divisors (112937200).

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

82753400 is a wasteful number, since it uses less digits than its factorization.

82753400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 82753400 is about 9096.8895783119. The cubic root of 82753400 is about 435.7746359374.

The spelling of 82753400 in words is "eighty-two million, seven hundred fifty-three thousand, four hundred".