6776896800 has 144 divisors (see below), whose sum is σ = 22220890272. Its totient is φ = 1793894400.

The previous prime is 6776896787. The next prime is 6776896811. The reversal of 6776896800 is 86986776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318495 + ... + 339105.

It is an arithmetic number, because the mean of its divisors is an integer number (154311738).

Almost surely, 2^6776896800 is an apocalyptic number.

6776896800 is a gapful number since it is divisible by the number (60) 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 6776896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110445136).

6776896800 is an abundant number, since it is smaller than the sum of its proper divisors (15443993472).

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

6776896800 is a wasteful number, since it uses less digits than its factorization.

6776896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20771 (or 20758 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The square root of 6776896800 is about 82321.9095988425. The cubic root of 6776896800 is about 1892.3884587522.

The spelling of 6776896800 in words is "six billion, seven hundred seventy-six million, eight hundred ninety-six thousand, eight hundred".