1768864400 has 60 divisors (see below), whose sum is σ = 4329931572. Its totient is φ = 694187520.

The previous prime is 1768864373. The next prime is 1768864417. The reversal of 1768864400 is 44688671.

1768864400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 190550416 + 1578313984 = 13804^2 + 39728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20519 + ... + 62918.

Almost surely, 2^1768864400 is an apocalyptic number.

1768864400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1768864400 is an abundant number, since it is smaller than the sum of its proper divisors (2561067172).

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

1768864400 is a wasteful number, since it uses less digits than its factorization.

1768864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83508 (or 83497 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 1768864400 is about 42057.8696559871. The cubic root of 1768864400 is about 1209.3857502043.

The spelling of 1768864400 in words is "one billion, seven hundred sixty-eight million, eight hundred sixty-four thousand, four hundred".