82801764 has 72 divisors (see below), whose sum is σ = 229870368. Its totient is φ = 25971840.

The previous prime is 82801739. The next prime is 82801769. The reversal of 82801764 is 46710828.

It is a super-2 number, since 2×82801764² = 13712264243023392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82801769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14019 + ... + 19029.

It is an arithmetic number, because the mean of its divisors is an integer number (3192644).

Almost surely, 2^82801764 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 82801764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114935184).

82801764 is an abundant number, since it is smaller than the sum of its proper divisors (147068604).

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

82801764 is a wasteful number, since it uses less digits than its factorization.

82801764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82801764 is about 9099.5474612752. The cubic root of 82801764 is about 435.8595134168.

The spelling of 82801764 in words is "eighty-two million, eight hundred one thousand, seven hundred sixty-four".