1861768800 has 432 divisors, whose sum is σ = 6963898032. Its totient is φ = 485222400.

The previous prime is 1861768781. The next prime is 1861768897. The reversal of 1861768800 is 88671681.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11858322 + ... + 11858478.

Almost surely, 2^1861768800 is an apocalyptic number.

1861768800 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 1861768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481949016).

1861768800 is an abundant number, since it is smaller than the sum of its proper divisors (5102129232).

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

1861768800 is a wasteful number, since it uses less digits than its factorization.

1861768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1861768800 is about 43148.2189667198. The cubic root of 1861768800 is about 1230.1986591677.

It can be divided in two parts, 1861 and 768800, that added together give a triangular number (770661 = T₁₂₄₁).

The spelling of 1861768800 in words is "one billion, eight hundred sixty-one million, seven hundred sixty-eight thousand, eight hundred".