82894756 has 48 divisors (see below), whose sum is σ = 171206784. Its totient is φ = 34384896.

The previous prime is 82894753. The next prime is 82894759. The reversal of 82894756 is 65749828.

It is an interprime number because it is at equal distance from previous prime (82894753) and next prime (82894759).

It is not an unprimeable number, because it can be changed into a prime (82894753) 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, 122836 + ... + 123508.

It is an arithmetic number, because the mean of its divisors is an integer number (3566808).

Almost surely, 2^82894756 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 82894756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85603392).

82894756 is an abundant number, since it is smaller than the sum of its proper divisors (88312028).

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

82894756 is a wasteful number, since it uses less digits than its factorization.

82894756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 82894756 is about 9104.6557320966. The cubic root of 82894756 is about 436.0226189764.

The spelling of 82894756 in words is "eighty-two million, eight hundred ninety-four thousand, seven hundred fifty-six".