97750800 has 300 divisors, whose sum is σ = 401867136. Its totient is φ = 22291200.

The previous prime is 97750753. The next prime is 97750871. The reversal of 97750800 is 805779.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226585 + ... + 227015.

Almost surely, 2^97750800 is an apocalyptic number.

97750800 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 97750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200933568).

97750800 is an abundant number, since it is smaller than the sum of its proper divisors (304116336).

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

97750800 is a wasteful number, since it uses less digits than its factorization.

97750800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 97750800 is about 9886.9004242988. The cubic root of 97750800 is about 460.6525081347.

The spelling of 97750800 in words is "ninety-seven million, seven hundred fifty thousand, eight hundred".