82764864 has 168 divisors, whose sum is σ = 292160960. Its totient is φ = 21814272.

The previous prime is 82764863. The next prime is 82764901. The reversal of 82764864 is 46846728.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82764863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51627 + ... + 53205.

Almost surely, 2^82764864 is an apocalyptic number.

82764864 is a gapful number since it is divisible by the number (84) 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 82764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146080480).

82764864 is an abundant number, since it is smaller than the sum of its proper divisors (209396096).

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

82764864 is a wasteful number, since it uses less digits than its factorization.

82764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 82764864 is about 9097.5196619738. The cubic root of 82764864 is about 435.7947579294.

The spelling of 82764864 in words is "eighty-two million, seven hundred sixty-four thousand, eight hundred sixty-four".