82313280 has 224 divisors, whose sum is σ = 332110080. Its totient is φ = 18800640.

The previous prime is 82313279. The next prime is 82313321. The reversal of 82313280 is 8231328.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59800 + ... + 61160.

Almost surely, 2^82313280 is an apocalyptic number.

82313280 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 82313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166055040).

82313280 is an abundant number, since it is smaller than the sum of its proper divisors (249796800).

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

82313280 is a wasteful number, since it uses less digits than its factorization.

82313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82313280 is about 9072.6666421731. Note that the first 4 decimals coincide. The cubic root of 82313280 is about 435.0007134352. Note that the first 3 decimals are identical.

It can be divided in two parts, 8231 and 3280, that added together give a palindrome (11511).

The spelling of 82313280 in words is "eighty-two million, three hundred thirteen thousand, two hundred eighty".