1878678144 has 256 divisors, whose sum is σ = 6423552000. Its totient is φ = 529431552.

The previous prime is 1878678133. The next prime is 1878678149. The reversal of 1878678144 is 4418768781.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1878678149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1910677 + ... + 1911659.

It is an arithmetic number, because the mean of its divisors is an integer number (25092000).

Almost surely, 2^1878678144 is an apocalyptic number.

1878678144 is a gapful number since it is divisible by the number (14) 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 1878678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211776000).

1878678144 is an abundant number, since it is smaller than the sum of its proper divisors (4544873856).

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

1878678144 is an equidigital number, since it uses as much as digits as its factorization.

1878678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1074 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 1878678144 is about 43343.7209293342. The cubic root of 1878678144 is about 1233.9118289953.

The spelling of 1878678144 in words is "one billion, eight hundred seventy-eight million, six hundred seventy-eight thousand, one hundred forty-four".