82758992 has 60 divisors (see below), whose sum is σ = 174980988. Its totient is φ = 37785600.

The previous prime is 82758989. The next prime is 82759049. The reversal of 82758992 is 29985728.

It can be written as a sum of positive squares in 6 ways, for example, as 38987536 + 43771456 = 6244^2 + 6616^2 .

Its product of digits (725760) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 82758992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457142 + ... + 457322.

Almost surely, 2^82758992 is an apocalyptic number.

82758992 is a gapful number since it is divisible by the number (82) 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 82758992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87490494).

82758992 is an abundant number, since it is smaller than the sum of its proper divisors (92221996).

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

82758992 is a wasteful number, since it uses less digits than its factorization.

82758992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 241 counting only the distinct ones).

The product of its digits is 725760, while the sum is 50.

The square root of 82758992 is about 9097.1969309233. The cubic root of 82758992 is about 435.7844514329.

The spelling of 82758992 in words is "eighty-two million, seven hundred fifty-eight thousand, nine hundred ninety-two".