82678000 has 80 divisors (see below), whose sum is σ = 203228064. Its totient is φ = 32524800.

The previous prime is 82677983. The next prime is 82678007. The reversal of 82678000 is 87628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82678007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133692 + ... + 134308.

Almost surely, 2^82678000 is an apocalyptic number.

82678000 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 82678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101614032).

82678000 is an abundant number, since it is smaller than the sum of its proper divisors (120550064).

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

82678000 is a wasteful number, since it uses less digits than its factorization.

82678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 82678000 is about 9092.7443602028. The cubic root of 82678000 is about 435.6422450353.

The spelling of 82678000 in words is "eighty-two million, six hundred seventy-eight thousand".