82706700 has 72 divisors (see below), whose sum is σ = 253390032. Its totient is φ = 20756480.

The previous prime is 82706681. The next prime is 82706711. The reversal of 82706700 is 760728.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3009 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (3519306).

Almost surely, 2^82706700 is an apocalyptic number.

It is an amenable number.

82706700 is an abundant number, since it is smaller than the sum of its proper divisors (170683332).

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

82706700 is a wasteful number, since it uses less digits than its factorization.

82706700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16251 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 82706700 is about 9094.3224046655. The cubic root of 82706700 is about 435.6926473430.

The spelling of 82706700 in words is "eighty-two million, seven hundred six thousand, seven hundred".