97742880 has 144 divisors (see below), whose sum is σ = 337296960. Its totient is φ = 25772544.

The previous prime is 97742861. The next prime is 97742921. The reversal of 97742880 is 8824779.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 147991 + ... + 148649.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2^97742880 is an apocalyptic number.

97742880 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 97742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

97742880 is an abundant number, since it is smaller than the sum of its proper divisors (239554080).

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

97742880 is a wasteful number, since it uses less digits than its factorization.

97742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 97742880 is about 9886.4998862085. The cubic root of 97742880 is about 460.6400667484.

The spelling of 97742880 in words is "ninety-seven million, seven hundred forty-two thousand, eight hundred eighty".