82797120 has 336 divisors, whose sum is σ = 343082880. Its totient is φ = 18413568.

The previous prime is 82797103. The next prime is 82797133. The reversal of 82797120 is 2179728.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2237742 + ... + 2237778.

It is an arithmetic number, because the mean of its divisors is an integer number (1021080).

Almost surely, 2^82797120 is an apocalyptic number.

82797120 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 82797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171541440).

82797120 is an abundant number, since it is smaller than the sum of its proper divisors (260285760).

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

82797120 is a wasteful number, since it uses less digits than its factorization.

82797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 82797120 is about 9099.2922801721. The cubic root of 82797120 is about 435.8513647602.

The spelling of 82797120 in words is "eighty-two million, seven hundred ninety-seven thousand, one hundred twenty".