82691280 has 200 divisors, whose sum is σ = 328407552. Its totient is φ = 18890496.

The previous prime is 82691269. The next prime is 82691311. The reversal of 82691280 is 8219628.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44449 + ... + 46271.

Almost surely, 2^82691280 is an apocalyptic number.

82691280 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 82691280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164203776).

82691280 is an abundant number, since it is smaller than the sum of its proper divisors (245716272).

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

82691280 is a wasteful number, since it uses less digits than its factorization.

82691280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82691280 is about 9093.4745834582. The cubic root of 82691280 is about 435.6655685284.

The spelling of 82691280 in words is "eighty-two million, six hundred ninety-one thousand, two hundred eighty".