82420400 has 30 divisors (see below), whose sum is σ = 198015972. Its totient is φ = 32968000.

The previous prime is 82420399. The next prime is 82420409. The reversal of 82420400 is 402428.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (82420409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102626 + ... + 103425.

Almost surely, 2^82420400 is an apocalyptic number.

82420400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82420400 is an abundant number, since it is smaller than the sum of its proper divisors (115595572).

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

82420400 is a wasteful number, since it uses less digits than its factorization.

82420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206069 (or 206058 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 82420400 is about 9078.5681690452. The cubic root of 82420400 is about 435.1893305397.

Adding to 82420400 its reverse (402428), we get a palindrome (82822828).

The spelling of 82420400 in words is "eighty-two million, four hundred twenty thousand, four hundred".