82516800 has 84 divisors (see below), whose sum is σ = 270739616. Its totient is φ = 22003200.

The previous prime is 82516783. The next prime is 82516807. The reversal of 82516800 is 861528.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82516807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3796 + ... + 13395.

Almost surely, 2^82516800 is an apocalyptic number.

82516800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82516800 is an abundant number, since it is smaller than the sum of its proper divisors (188222816).

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

82516800 is a wasteful number, since it uses less digits than its factorization.

82516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17216 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 82516800 is about 9083.8758247788. The cubic root of 82516800 is about 435.3589321841.

It can be divided in two parts, 8251 and 6800, that added together give a palindrome (15051).

The spelling of 82516800 in words is "eighty-two million, five hundred sixteen thousand, eight hundred".