82876500 has 192 divisors, whose sum is σ = 306808320. Its totient is φ = 18921600.

The previous prime is 82876489. The next prime is 82876531. The reversal of 82876500 is 567828.

82876500 is a `hidden beast` number, since 82 + 8 + 76 + 500 = 666.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94062 + ... + 94938.

It is an arithmetic number, because the mean of its divisors is an integer number (1597960).

Almost surely, 2^82876500 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 82876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153404160).

82876500 is an abundant number, since it is smaller than the sum of its proper divisors (223931820).

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

82876500 is a wasteful number, since it uses less digits than its factorization.

82876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82876500 is about 9103.6531128992. The cubic root of 82876500 is about 435.9906080518.

The spelling of 82876500 in words is "eighty-two million, eight hundred seventy-six thousand, five hundred".