82703360 has 88 divisors (see below), whose sum is σ = 205600680. Its totient is φ = 31883264.

The previous prime is 82703359. The next prime is 82703363. The reversal of 82703360 is 6330728.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 82011136 = 832^2 + 9056^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82703363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148202 + ... + 148758.

Almost surely, 2^82703360 is an apocalyptic number.

82703360 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 82703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102800340).

82703360 is an abundant number, since it is smaller than the sum of its proper divisors (122897320).

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

82703360 is a wasteful number, since it uses less digits than its factorization.

82703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 82703360 is about 9094.1387717584. The cubic root of 82703360 is about 435.6867823082.

The spelling of 82703360 in words is "eighty-two million, seven hundred three thousand, three hundred sixty".