82766700 has 108 divisors (see below), whose sum is σ = 265873608. Its totient is φ = 21523200.

The previous prime is 82766689. The next prime is 82766711. The reversal of 82766700 is 766728.

It is an interprime number because it is at equal distance from previous prime (82766689) and next prime (82766711).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35779 + ... + 38021.

Almost surely, 2^82766700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82766700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132936804).

82766700 is an abundant number, since it is smaller than the sum of its proper divisors (183106908).

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

82766700 is a wasteful number, since it uses less digits than its factorization.

82766700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 82766700 is about 9097.6205680387. The cubic root of 82766700 is about 435.7979803647.

The spelling of 82766700 in words is "eighty-two million, seven hundred sixty-six thousand, seven hundred".