82434400 has 36 divisors (see below), whose sum is σ = 201244932. Its totient is φ = 32973440.

The previous prime is 82434379. The next prime is 82434419. The reversal of 82434400 is 443428.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50722 + ... + 52321.

It is an arithmetic number, because the mean of its divisors is an integer number (5590137).

Almost surely, 2^82434400 is an apocalyptic number.

82434400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82434400 is an abundant number, since it is smaller than the sum of its proper divisors (118810532).

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

82434400 is a wasteful number, since it uses less digits than its factorization.

82434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103063 (or 103050 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 82434400 is about 9079.3391830023. The cubic root of 82434400 is about 435.2139696893.

Adding to 82434400 its reverse (443428), we get a palindrome (82877828).

The spelling of 82434400 in words is "eighty-two million, four hundred thirty-four thousand, four hundred".