1678772880 has 480 divisors, whose sum is σ = 6251787360. Its totient is φ = 402554880.

The previous prime is 1678772869. The next prime is 1678772881. The reversal of 1678772880 is 882778761.

It can be written as a sum of positive squares in 16 ways, for example, as 244484496 + 1434288384 = 15636^2 + 37872^2 .

It is not an unprimeable number, because it can be changed into a prime (1678772881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31674934 + ... + 31674986.

It is an arithmetic number, because the mean of its divisors is an integer number (13024557).

Almost surely, 2^1678772880 is an apocalyptic number.

1678772880 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 1678772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125893680).

1678772880 is an abundant number, since it is smaller than the sum of its proper divisors (4573014480).

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

1678772880 is a wasteful number, since it uses less digits than its factorization.

1678772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The square root of 1678772880 is about 40972.8309981139. The cubic root of 1678772880 is about 1188.4948793574.

The spelling of 1678772880 in words is "one billion, six hundred seventy-eight million, seven hundred seventy-two thousand, eight hundred eighty".