27797768400 has 120 divisors (see below), whose sum is σ = 89099922240. Its totient is φ = 7408209920.

The previous prime is 27797768393. The next prime is 27797768447. The reversal of 27797768400 is 486779772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 2260669 + ... + 2272931.

It is an arithmetic number, because the mean of its divisors is an integer number (742499352).

Almost surely, 2^27797768400 is an apocalyptic number.

27797768400 is a gapful number since it is divisible by the number (20) 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 27797768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44549961120).

27797768400 is an abundant number, since it is smaller than the sum of its proper divisors (61302153840).

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

27797768400 is a wasteful number, since it uses less digits than its factorization.

27797768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14173 (or 14162 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 27797768400 in words is "twenty-seven billion, seven hundred ninety-seven million, seven hundred sixty-eight thousand, four hundred".