1797230400 has 336 divisors, whose sum is σ = 6825813120. Its totient is φ = 405504000.

The previous prime is 1797230389. The next prime is 1797230431. The reversal of 1797230400 is 40327971.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1797230400² = 6460074221368320000, which contains 22 as substring.

It is a congruent number.

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, 2990100 + ... + 2990700.

It is an arithmetic number, because the mean of its divisors is an integer number (20314920).

Almost surely, 2^1797230400 is an apocalyptic number.

1797230400 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 1797230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412906560).

1797230400 is an abundant number, since it is smaller than the sum of its proper divisors (5028582720).

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

1797230400 is a wasteful number, since it uses less digits than its factorization.

1797230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1797230400 is about 42393.7542569657. The cubic root of 1797230400 is about 1215.8161800854.

The spelling of 1797230400 in words is "one billion, seven hundred ninety-seven million, two hundred thirty thousand, four hundred".