1826072800 has 72 divisors (see below), whose sum is σ = 4482884952. Its totient is φ = 726336000.

The previous prime is 1826072789. The next prime is 1826072819. The reversal of 1826072800 is 82706281.

It is a congruent number.

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, 138495 + ... + 151105.

It is an arithmetic number, because the mean of its divisors is an integer number (62262291).

Almost surely, 2^1826072800 is an apocalyptic number.

1826072800 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 1826072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241442476).

1826072800 is an abundant number, since it is smaller than the sum of its proper divisors (2656812152).

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

1826072800 is a wasteful number, since it uses less digits than its factorization.

1826072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 1826072800 is about 42732.5730561594. The cubic root of 1826072800 is about 1222.2856016108.

The spelling of 1826072800 in words is "one billion, eight hundred twenty-six million, seventy-two thousand, eight hundred".