1878676800 has 1344 divisors, whose sum is σ = 9143414784. Its totient is φ = 324403200.

The previous prime is 1878676771. The next prime is 1878676829. The reversal of 1878676800 is 86768781.

It is an interprime number because it is at equal distance from previous prime (1878676771) and next prime (1878676829).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 191 ways as a sum of consecutive naturals, for example, 81681589 + ... + 81681611.

It is an arithmetic number, because the mean of its divisors is an integer number (6803136).

Almost surely, 2^1878676800 is an apocalyptic number.

1878676800 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 1878676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571707392).

1878676800 is an abundant number, since it is smaller than the sum of its proper divisors (7264737984).

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

1878676800 is a wasteful number, since it uses less digits than its factorization.

1878676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 1878676800 is about 43343.7054253556. The cubic root of 1878676800 is about 1233.9115347498.

The spelling of 1878676800 in words is "one billion, eight hundred seventy-eight million, six hundred seventy-six thousand, eight hundred".