1768788560 has 80 divisors (see below), whose sum is σ = 5127207552. Its totient is φ = 551308800.

The previous prime is 1768788559. The next prime is 1768788569. The reversal of 1768788560 is 658878671.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1768788560² = 6257225939973747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 1768788496 and 1768788505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768788569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137411 + ... + 149730.

Almost surely, 2^1768788560 is an apocalyptic number.

1768788560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1768788560 is an abundant number, since it is smaller than the sum of its proper divisors (3358418992).

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

1768788560 is a wasteful number, since it uses less digits than its factorization.

1768788560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287172 (or 287166 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 56.

The square root of 1768788560 is about 42056.9680314689. The cubic root of 1768788560 is about 1209.3684658332.

The spelling of 1768788560 in words is "one billion, seven hundred sixty-eight million, seven hundred eighty-eight thousand, five hundred sixty".