1878085440 has 560 divisors, whose sum is σ = 8338011264. Its totient is φ = 389836800.

The previous prime is 1878085439. The next prime is 1878085453. The reversal of 1878085440 is 445808781.

It is a tau number, because it is divible by the number of its divisors (560).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995370 + ... + 1996310.

Almost surely, 2^1878085440 is an apocalyptic number.

1878085440 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 1878085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169005632).

1878085440 is an abundant number, since it is smaller than the sum of its proper divisors (6459925824).

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

1878085440 is a wasteful number, since it uses less digits than its factorization.

1878085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1878085440 is about 43336.8831366539. The cubic root of 1878085440 is about 1233.7820531024.

The spelling of 1878085440 in words is "one billion, eight hundred seventy-eight million, eighty-five thousand, four hundred forty".