97678080 has 216 divisors, whose sum is σ = 345967440. Its totient is φ = 25436160.

The previous prime is 97678057. The next prime is 97678121. The reversal of 97678080 is 8087679.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 702651 + ... + 702789.

Almost surely, 2^97678080 is an apocalyptic number.

97678080 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 97678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172983720).

97678080 is an abundant number, since it is smaller than the sum of its proper divisors (248289360).

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

97678080 is a wasteful number, since it uses less digits than its factorization.

97678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 97678080 is about 9883.2221466483. Note that the first 3 decimals coincide. The cubic root of 97678080 is about 460.5382483341.

The spelling of 97678080 in words is "ninety-seven million, six hundred seventy-eight thousand, eighty".