9777196800 has 864 divisors, whose sum is σ = 41972313600. Its totient is φ = 2180874240.

The previous prime is 9777196691. The next prime is 9777196813. The reversal of 9777196800 is 86917779.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71366332 + ... + 71366468.

Almost surely, 2^9777196800 is an apocalyptic number.

9777196800 is a gapful number since it is divisible by the number (90) 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 9777196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986156800).

9777196800 is an abundant number, since it is smaller than the sum of its proper divisors (32195116800).

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

9777196800 is a wasteful number, since it uses less digits than its factorization.

9777196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 9777196800 is about 98879.7087374351. The cubic root of 9777196800 is about 2138.3138667455.

The spelling of 9777196800 in words is "nine billion, seven hundred seventy-seven million, one hundred ninety-six thousand, eight hundred".