1879890400 has 72 divisors (see below), whose sum is σ = 4830862680. Its totient is φ = 712373760.

The previous prime is 1879890377. The next prime is 1879890401. The reversal of 1879890400 is 40989781.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1879890401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46639 + ... + 77038.

It is an arithmetic number, because the mean of its divisors is an integer number (67095315).

Almost surely, 2^1879890400 is an apocalyptic number.

1879890400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1879890400 is an abundant number, since it is smaller than the sum of its proper divisors (2950972280).

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

1879890400 is a wasteful number, since it uses less digits than its factorization.

1879890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123716 (or 123703 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 1879890400 is about 43357.7028911819. The cubic root of 1879890400 is about 1234.1771743221.

The spelling of 1879890400 in words is "one billion, eight hundred seventy-nine million, eight hundred ninety thousand, four hundred".