82664400 has 240 divisors, whose sum is σ = 326340224. Its totient is φ = 17418240.

The previous prime is 82664389. The next prime is 82664411. The reversal of 82664400 is 446628.

It is an interprime number because it is at equal distance from previous prime (82664389) and next prime (82664411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108822 + ... + 109578.

Almost surely, 2^82664400 is an apocalyptic number.

82664400 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 82664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163170112).

82664400 is an abundant number, since it is smaller than the sum of its proper divisors (243675824).

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

82664400 is a wasteful number, since it uses less digits than its factorization.

82664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82664400 is about 9091.9964804217. The cubic root of 82664400 is about 435.6183569416.

The spelling of 82664400 in words is "eighty-two million, six hundred sixty-four thousand, four hundred".