97768800800 has 72 divisors (see below), whose sum is σ = 260376116112. Its totient is φ = 35552288000.

The previous prime is 97768800799. The next prime is 97768800809. The reversal of 97768800800 is 800886779.

It is not an unprimeable number, because it can be changed into a prime (97768800809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5546246 + ... + 5563845.

It is an arithmetic number, because the mean of its divisors is an integer number (3616334946).

Almost surely, 2^97768800800 is an apocalyptic number.

It is an amenable number.

97768800800 is an abundant number, since it is smaller than the sum of its proper divisors (162607315312).

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

97768800800 is a wasteful number, since it uses less digits than its factorization.

97768800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110122 (or 11110109 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 97768800800 in words is "ninety-seven billion, seven hundred sixty-eight million, eight hundred thousand, eight hundred".