1878778800 has 420 divisors, whose sum is σ = 7184551320. Its totient is φ = 470292480.

The previous prime is 1878778757. The next prime is 1878778807. The reversal of 1878778800 is 88778781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1878778807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4957011 + ... + 4957389.

Almost surely, 2^1878778800 is an apocalyptic number.

1878778800 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 1878778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592275660).

1878778800 is an abundant number, since it is smaller than the sum of its proper divisors (5305772520).

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

1878778800 is a wasteful number, since it uses less digits than its factorization.

1878778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The square root of 1878778800 is about 43344.8820508258. The cubic root of 1878778800 is about 1233.9338654844.

The spelling of 1878778800 in words is "one billion, eight hundred seventy-eight million, seven hundred seventy-eight thousand, eight hundred".