1682400800 has 72 divisors (see below), whose sum is σ = 4202762256. Its totient is φ = 657296640.

The previous prime is 1682400799. The next prime is 1682400821. The reversal of 1682400800 is 80042861.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9947 + ... + 58853.

It is an arithmetic number, because the mean of its divisors is an integer number (58371698).

Almost surely, 2^1682400800 is an apocalyptic number.

1682400800 is a gapful number since it is divisible by the number (10) 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 1682400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101381128).

1682400800 is an abundant number, since it is smaller than the sum of its proper divisors (2520361456).

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

1682400800 is a wasteful number, since it uses less digits than its factorization.

1682400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48970 (or 48957 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1682400800 is about 41017.0793694529. The cubic root of 1682400800 is about 1189.3503975222.

The spelling of 1682400800 in words is "one billion, six hundred eighty-two million, four hundred thousand, eight hundred".