82007040 has 176 divisors, whose sum is σ = 277081920. Its totient is φ = 20643840.

The previous prime is 82007033. The next prime is 82007053. The reversal of 82007040 is 4070028.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82006998 and 82007016.

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, 291700 + ... + 291980.

Almost surely, 2^82007040 is an apocalyptic number.

82007040 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 82007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138540960).

82007040 is an abundant number, since it is smaller than the sum of its proper divisors (195074880).

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

82007040 is a wasteful number, since it uses less digits than its factorization.

82007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 82007040 is about 9055.7738487663. The cubic root of 82007040 is about 434.4605812087.

Adding to 82007040 its reverse (4070028), we get a palindrome (86077068).

The spelling of 82007040 in words is "eighty-two million, seven thousand, forty".