82703040 has 224 divisors, whose sum is σ = 310554624. Its totient is φ = 18247680.

The previous prime is 82703021. The next prime is 82703057. The reversal of 82703040 is 4030728.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82703040.

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, 208122 + ... + 208518.

Almost surely, 2^82703040 is an apocalyptic number.

82703040 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 82703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155277312).

82703040 is an abundant number, since it is smaller than the sum of its proper divisors (227851584).

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

82703040 is a wasteful number, since it uses less digits than its factorization.

82703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 82703040 is about 9094.1211779919. The cubic root of 82703040 is about 435.6862203804.

Adding to 82703040 its reverse (4030728), we get a palindrome (86733768).

The spelling of 82703040 in words is "eighty-two million, seven hundred three thousand, forty".