77097408 has 56 divisors (see below), whose sum is σ = 204856080. Its totient is φ = 25589760.

The previous prime is 77097401. The next prime is 77097413. The reversal of 77097408 is 80479077.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77097408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77097401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53238 + ... + 54666.

Almost surely, 2^77097408 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 77097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102428040).

77097408 is an abundant number, since it is smaller than the sum of its proper divisors (127758672).

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

77097408 is a wasteful number, since it uses less digits than its factorization.

77097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 77097408 is about 8780.5129690696. The cubic root of 77097408 is about 425.6114069719.

The spelling of 77097408 in words is "seventy-seven million, ninety-seven thousand, four hundred eight".