82713780 has 36 divisors (see below), whose sum is σ = 250899012. Its totient is φ = 22056960.

The previous prime is 82713767. The next prime is 82713791. The reversal of 82713780 is 8731728.

It can be written as a sum of positive squares in 2 ways, for example, as 15539364 + 67174416 = 3942^2 + 8196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229581 + ... + 229940.

It is an arithmetic number, because the mean of its divisors is an integer number (6969417).

Almost surely, 2^82713780 is an apocalyptic number.

It is an amenable number.

82713780 is an abundant number, since it is smaller than the sum of its proper divisors (168185232).

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

82713780 is a wasteful number, since it uses less digits than its factorization.

82713780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459536 (or 459531 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 82713780 is about 9094.7116501844. The cubic root of 82713780 is about 435.7050792900.

The spelling of 82713780 in words is "eighty-two million, seven hundred thirteen thousand, seven hundred eighty".