82769008 has 60 divisors (see below), whose sum is σ = 189623280. Its totient is φ = 34283520.

The previous prime is 82768991. The next prime is 82769047. The reversal of 82769008 is 80096728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107248 + ... + 108016.

It is an arithmetic number, because the mean of its divisors is an integer number (3160388).

Almost surely, 2^82769008 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 82769008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94811640).

82769008 is an abundant number, since it is smaller than the sum of its proper divisors (106854272).

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

82769008 is a wasteful number, since it uses less digits than its factorization.

82769008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 82769008 is about 9097.7474135085. The cubic root of 82769008 is about 435.8020311581.

The spelling of 82769008 in words is "eighty-two million, seven hundred sixty-nine thousand, eight".