1789978680 has 384 divisors, whose sum is σ = 7035724800. Its totient is φ = 385837056.

The previous prime is 1789978643. The next prime is 1789978717. The reversal of 1789978680 is 868799871.

It is an interprime number because it is at equal distance from previous prime (1789978643) and next prime (1789978717).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5158267 + ... + 5158613.

It is an arithmetic number, because the mean of its divisors is an integer number (18322200).

Almost surely, 2^1789978680 is an apocalyptic number.

1789978680 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 1789978680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517862400).

1789978680 is an abundant number, since it is smaller than the sum of its proper divisors (5245746120).

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

1789978680 is a wasteful number, since it uses less digits than its factorization.

1789978680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The square root of 1789978680 is about 42308.1396423903. The cubic root of 1789978680 is about 1214.1787266029.

The spelling of 1789978680 in words is "one billion, seven hundred eighty-nine million, nine hundred seventy-eight thousand, six hundred eighty".