82699760 has 80 divisors (see below), whose sum is σ = 225923040. Its totient is φ = 27755520.

The previous prime is 82699759. The next prime is 82699777. The reversal of 82699760 is 6799628.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7826 + ... + 15054.

It is an arithmetic number, because the mean of its divisors is an integer number (2824038).

Almost surely, 2^82699760 is an apocalyptic number.

82699760 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 82699760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112961520).

82699760 is an abundant number, since it is smaller than the sum of its proper divisors (143223280).

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

82699760 is a wasteful number, since it uses less digits than its factorization.

82699760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 82699760 is about 9093.9408399219. The cubic root of 82699760 is about 435.6804605369.

The spelling of 82699760 in words is "eighty-two million, six hundred ninety-nine thousand, seven hundred sixty".