1799120400 has 240 divisors, whose sum is σ = 7185635328. Its totient is φ = 373824000.

The previous prime is 1799120377. The next prime is 1799120413. The reversal of 1799120400 is 40219971.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82665 + ... + 102135.

Almost surely, 2^1799120400 is an apocalyptic number.

1799120400 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 1799120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592817664).

1799120400 is an abundant number, since it is smaller than the sum of its proper divisors (5386514928).

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

1799120400 is a wasteful number, since it uses less digits than its factorization.

1799120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19510 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1799120400 is about 42416.0394190688. The cubic root of 1799120400 is about 1216.2422222053.

The spelling of 1799120400 in words is "one billion, seven hundred ninety-nine million, one hundred twenty thousand, four hundred".