97797772800 has 1440 divisors, whose sum is σ = 454353419520. Its totient is φ = 19508428800.

The previous prime is 97797772747. The next prime is 97797772801. The reversal of 97797772800 is 827779779.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97797772801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 199180555 + ... + 199181045.

It is an arithmetic number, because the mean of its divisors is an integer number (315523208).

Almost surely, 2^97797772800 is an apocalyptic number.

97797772800 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 97797772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227176709760).

97797772800 is an abundant number, since it is smaller than the sum of its proper divisors (356555646720).

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

97797772800 is a wasteful number, since it uses less digits than its factorization.

97797772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 21781872, while the sum is 63.

The spelling of 97797772800 in words is "ninety-seven billion, seven hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".