82004076 has 240 divisors, whose sum is σ = 282965760. Its totient is φ = 20062080.

The previous prime is 82004033. The next prime is 82004101. The reversal of 82004076 is 67040028.

It is a super-2 number, since 2×82004076² = 13449336961227552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473926 + ... + 474098.

It is an arithmetic number, because the mean of its divisors is an integer number (1179024).

Almost surely, 2^82004076 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 82004076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141482880).

82004076 is an abundant number, since it is smaller than the sum of its proper divisors (200961684).

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

82004076 is a wasteful number, since it uses less digits than its factorization.

82004076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82004076 is about 9055.6101947909. The cubic root of 82004076 is about 434.4553468749.

The spelling of 82004076 in words is "eighty-two million, four thousand, seventy-six".