82277000 has 64 divisors (see below), whose sum is σ = 207370800. Its totient is φ = 30374400.

The previous prime is 82276993. The next prime is 82277053. The reversal of 82277000 is 77228.

It can be written as a sum of positive squares in 8 ways, for example, as 1240996 + 81036004 = 1114^2 + 9002^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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, 9836 + ... + 16164.

Almost surely, 2^82277000 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 82277000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103685400).

82277000 is an abundant number, since it is smaller than the sum of its proper divisors (125093800).

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

82277000 is a wasteful number, since it uses less digits than its factorization.

82277000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 82277000 is about 9070.6670096526. The cubic root of 82277000 is about 434.9367944455.

The spelling of 82277000 in words is "eighty-two million, two hundred seventy-seven thousand".