1879770240 has 512 divisors, whose sum is σ = 7226496000. Its totient is φ = 465813504.

The previous prime is 1879770209. The next prime is 1879770259. The reversal of 1879770240 is 420779781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23794521 + ... + 23794599.

It is an arithmetic number, because the mean of its divisors is an integer number (14114250).

Almost surely, 2^1879770240 is an apocalyptic number.

1879770240 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 1879770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613248000).

1879770240 is an abundant number, since it is smaller than the sum of its proper divisors (5346725760).

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

1879770240 is an frugal number, since it uses more digits than its factorization.

1879770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1879770240 is about 43356.3171867722. The cubic root of 1879770240 is about 1234.1508781279.

The spelling of 1879770240 in words is "one billion, eight hundred seventy-nine million, seven hundred seventy thousand, two hundred forty".