1879136820 has 240 divisors, whose sum is σ = 6810205248. Its totient is φ = 428682240.

The previous prime is 1879136813. The next prime is 1879136839. The reversal of 1879136820 is 286319781.

1879136820 is a `hidden beast` number, since 187 + 91 + 368 + 20 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299839 + ... + 306041.

Almost surely, 2^1879136820 is an apocalyptic number.

1879136820 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 1879136820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405102624).

1879136820 is an abundant number, since it is smaller than the sum of its proper divisors (4931068428).

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

1879136820 is a wasteful number, since it uses less digits than its factorization.

1879136820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1879136820 is about 43349.0117534414. The cubic root of 1879136820 is about 1234.0122399661.

It can be divided in two parts, 18791 and 36820, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1879136820 in words is "one billion, eight hundred seventy-nine million, one hundred thirty-six thousand, eight hundred twenty".