82703680 has 28 divisors (see below), whose sum is σ = 196938900. Its totient is φ = 33081344.

The previous prime is 82703611. The next prime is 82703689. The reversal of 82703680 is 8630728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 70425664 = 3504^2 + 8392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82703689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128905 + ... + 129544.

Almost surely, 2^82703680 is an apocalyptic number.

82703680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82703680 is an abundant number, since it is smaller than the sum of its proper divisors (114235220).

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

82703680 is a wasteful number, since it uses less digits than its factorization.

82703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258466 (or 258456 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82703680 is about 9094.1563654910. The cubic root of 82703680 is about 435.6873442345.

The spelling of 82703680 in words is "eighty-two million, seven hundred three thousand, six hundred eighty".