77097744 has 200 divisors, whose sum is σ = 244865280. Its totient is φ = 23328000.

The previous prime is 77097743. The next prime is 77097749. The reversal of 77097744 is 44779077.

It is a self number, because there is not a number n which added to its sum of digits gives 77097744.

It is not an unprimeable number, because it can be changed into a prime (77097743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 763294 + ... + 763394.

Almost surely, 2^77097744 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 77097744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122432640).

77097744 is an abundant number, since it is smaller than the sum of its proper divisors (167767536).

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

77097744 is a wasteful number, since it uses less digits than its factorization.

77097744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 77097744 is about 8780.5321023273. The cubic root of 77097744 is about 425.6120252599.

It can be divided in two parts, 77097 and 744, that added together give a square (77841 = 279²).

The spelling of 77097744 in words is "seventy-seven million, ninety-seven thousand, seven hundred forty-four".