82502400 has 108 divisors (see below), whose sum is σ = 272338472. Its totient is φ = 21995520.

The previous prime is 82502383. The next prime is 82502417. The reversal of 82502400 is 420528.

It is an interprime number because it is at equal distance from previous prime (82502383) and next prime (82502417).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17052 + ... + 21348.

Almost surely, 2^82502400 is an apocalyptic number.

82502400 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 82502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136169236).

82502400 is an abundant number, since it is smaller than the sum of its proper divisors (189836072).

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

82502400 is a wasteful number, since it uses less digits than its factorization.

82502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 82502400 is about 9083.0831769835. The cubic root of 82502400 is about 435.3336058936. Note that the first 3 decimals are identical.

Adding to 82502400 its reverse (420528), we get a palindrome (82922928).

The spelling of 82502400 in words is "eighty-two million, five hundred two thousand, four hundred".