1925768880 has 240 divisors, whose sum is σ = 7462450944. Its totient is φ = 435939840.

The previous prime is 1925768869. The next prime is 1925768951. The reversal of 1925768880 is 888675291.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537495 + ... + 541065.

Almost surely, 2^1925768880 is an apocalyptic number.

1925768880 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 1925768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731225472).

1925768880 is an abundant number, since it is smaller than the sum of its proper divisors (5536682064).

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

1925768880 is a wasteful number, since it uses less digits than its factorization.

1925768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1925768880 is about 43883.5832629926. The cubic root of 1925768880 is about 1244.1365668594.

The spelling of 1925768880 in words is "one billion, nine hundred twenty-five million, seven hundred sixty-eight thousand, eight hundred eighty".