82817280 has 432 divisors, whose sum is σ = 357127680. Its totient is φ = 17252352.

The previous prime is 82817279. The next prime is 82817303. The reversal of 82817280 is 8271828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048281 + ... + 1048359.

Almost surely, 2^82817280 is an apocalyptic number.

82817280 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 82817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

82817280 is an abundant number, since it is smaller than the sum of its proper divisors (274310400).

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

82817280 is a wasteful number, since it uses less digits than its factorization.

82817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82817280 is about 9100.3999912092. The cubic root of 82817280 is about 435.8867365640.

The spelling of 82817280 in words is "eighty-two million, eight hundred seventeen thousand, two hundred eighty".