82653792 has 96 divisors (see below), whose sum is σ = 236291328. Its totient is φ = 25145856.

The previous prime is 82653773. The next prime is 82653803. The reversal of 82653792 is 29735628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128223 + ... + 128865.

It is an arithmetic number, because the mean of its divisors is an integer number (2461368).

Almost surely, 2^82653792 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 82653792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118145664).

82653792 is an abundant number, since it is smaller than the sum of its proper divisors (153637536).

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

82653792 is a wasteful number, since it uses less digits than its factorization.

82653792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 82653792 is about 9091.4130914836. The cubic root of 82653792 is about 435.5997224097.

The spelling of 82653792 in words is "eighty-two million, six hundred fifty-three thousand, seven hundred ninety-two".