82710480 has 80 divisors (see below), whose sum is σ = 264697344. Its totient is φ = 21342720.

The previous prime is 82710479. The next prime is 82710487. The reversal of 82710480 is 8401728.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82710487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882 + ... + 12998.

Almost surely, 2^82710480 is an apocalyptic number.

82710480 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 82710480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132348672).

82710480 is an abundant number, since it is smaller than the sum of its proper divisors (181986864).

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

82710480 is a wasteful number, since it uses less digits than its factorization.

82710480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11164 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 82710480 is about 9094.5302242612. The cubic root of 82710480 is about 435.6992848267.

The spelling of 82710480 in words is "eighty-two million, seven hundred ten thousand, four hundred eighty".