97777792 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 39137280.

The previous prime is 97777789. The next prime is 97777793. The reversal of 97777792 is 29777779.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (2722734) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (97777793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377117 + ... + 1377187.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^97777792 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 97777792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

97777792 is an abundant number, since it is smaller than the sum of its proper divisors (140167808).

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

97777792 is a wasteful number, since it uses less digits than its factorization.

97777792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 2722734, while the sum is 55.

The square root of 97777792 is about 9888.2653686074. The cubic root of 97777792 is about 460.6949043375.

The spelling of 97777792 in words is "ninety-seven million, seven hundred seventy-seven thousand, seven hundred ninety-two".