97797600 has 324 divisors, whose sum is σ = 374132304. Its totient is φ = 24023040.

The previous prime is 97797571. The next prime is 97797607. The reversal of 97797600 is 679779.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97797607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2080777 + ... + 2080823.

Almost surely, 2^97797600 is an apocalyptic number.

97797600 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 97797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187066152).

97797600 is an abundant number, since it is smaller than the sum of its proper divisors (276334704).

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

97797600 is a wasteful number, since it uses less digits than its factorization.

97797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 97797600 is about 9889.2669091293. The cubic root of 97797600 is about 460.7260117029.

The spelling of 97797600 in words is "ninety-seven million, seven hundred ninety-seven thousand, six hundred".