97076880 has 200 divisors, whose sum is σ = 343531584. Its totient is φ = 25401600.

The previous prime is 97076879. The next prime is 97076897. The reversal of 97076880 is 8867079.

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 39 ways as a sum of consecutive naturals, for example, 459975 + ... + 460185.

Almost surely, 2^97076880 is an apocalyptic number.

97076880 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 97076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171765792).

97076880 is an abundant number, since it is smaller than the sum of its proper divisors (246454704).

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

97076880 is a wasteful number, since it uses less digits than its factorization.

97076880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

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

The square root of 97076880 is about 9852.7600194057. The cubic root of 97076880 is about 459.5914456888.

The spelling of 97076880 in words is "ninety-seven million, seventy-six thousand, eight hundred eighty".