82477000 has 64 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 32472000.

The previous prime is 82476997. The next prime is 82477001. The reversal of 82477000 is 77428.

It is a self number, because there is not a number n which added to its sum of digits gives 82477000.

It is not an unprimeable number, because it can be changed into a prime (82477001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66385 + ... + 67615.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^82477000 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 82477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017920).

82477000 is an abundant number, since it is smaller than the sum of its proper divisors (113558840).

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

82477000 is a wasteful number, since it uses less digits than its factorization.

82477000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 82477000 is about 9081.6848657064. The cubic root of 82477000 is about 435.2889259468.

The spelling of 82477000 in words is "eighty-two million, four hundred seventy-seven thousand".