97078800 has 360 divisors, whose sum is σ = 392641536. Its totient is φ = 20321280.

The previous prime is 97078799. The next prime is 97078801. The reversal of 97078800 is 887079.

It is an interprime number because it is at equal distance from previous prime (97078799) and next prime (97078801).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (97078801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764337 + ... + 764463.

Almost surely, 2^97078800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196320768).

97078800 is an abundant number, since it is smaller than the sum of its proper divisors (295562736).

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

97078800 is a wasteful number, since it uses less digits than its factorization.

97078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 97078800 is about 9852.8574535512. The cubic root of 97078800 is about 459.5944756233.

The spelling of 97078800 in words is "ninety-seven million, seventy-eight thousand, eight hundred".