1879899840 has 560 divisors, whose sum is σ = 8240645952. Its totient is φ = 396140544.

The previous prime is 1879899839. The next prime is 1879899841. The reversal of 1879899840 is 489989781.

It is an interprime number because it is at equal distance from previous prime (1879899839) and next prime (1879899841).

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

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (1879899841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358322 + ... + 2359118.

Almost surely, 2^1879899840 is an apocalyptic number.

1879899840 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 1879899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120322976).

1879899840 is an abundant number, since it is smaller than the sum of its proper divisors (6360746112).

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

1879899840 is a wasteful number, since it uses less digits than its factorization.

1879899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The square root of 1879899840 is about 43357.8117529010. The cubic root of 1879899840 is about 1234.1792401540.

The spelling of 1879899840 in words is "one billion, eight hundred seventy-nine million, eight hundred ninety-nine thousand, eight hundred forty".