82790010 has 48 divisors (see below), whose sum is σ = 217867104. Its totient is φ = 21809376.

The previous prime is 82790009. The next prime is 82790021. The reversal of 82790010 is 1009728.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1929 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (4538898).

Almost surely, 2^82790010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82790010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108933552).

82790010 is an abundant number, since it is smaller than the sum of its proper divisors (135077094).

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

82790010 is a wasteful number, since it uses less digits than its factorization.

82790010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 82790010 is about 9098.9015820592. The cubic root of 82790010 is about 435.8388885134.

Adding to 82790010 its reverse (1009728), we get a palindrome (83799738).

The spelling of 82790010 in words is "eighty-two million, seven hundred ninety thousand, ten".