77097888 has 144 divisors (see below), whose sum is σ = 253169280. Its totient is φ = 21800448.

The previous prime is 77097883. The next prime is 77097893. The reversal of 77097888 is 88879077.

It is an interprime number because it is at equal distance from previous prime (77097883) and next prime (77097893).

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

It is not an unprimeable number, because it can be changed into a prime (77097883) 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 23 ways as a sum of consecutive naturals, for example, 336558 + ... + 336786.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 2^77097888 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 77097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

77097888 is an abundant number, since it is smaller than the sum of its proper divisors (176071392).

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

77097888 is a wasteful number, since it uses less digits than its factorization.

77097888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The square root of 77097888 is about 8780.5403022821. The cubic root of 77097888 is about 425.6122902400.

The spelling of 77097888 in words is "seventy-seven million, ninety-seven thousand, eight hundred eighty-eight".