1878048000 has 216 divisors, whose sum is σ = 6758800776. Its totient is φ = 500736000.

The previous prime is 1878047993. The next prime is 1878048017. The reversal of 1878048000 is 8408781.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 1874543616 = 1872^2 + 43296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284740 + ... + 291260.

Almost surely, 2^1878048000 is an apocalyptic number.

1878048000 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 1878048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379400388).

1878048000 is an abundant number, since it is smaller than the sum of its proper divisors (4880752776).

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

1878048000 is an equidigital number, since it uses as much as digits as its factorization.

1878048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1878048000 is about 43336.4511698870. The cubic root of 1878048000 is about 1233.7738544859.

The spelling of 1878048000 in words is "one billion, eight hundred seventy-eight million, forty-eight thousand".