77097033728 has 336 divisors, whose sum is σ = 189375946368. Its totient is φ = 31142707200.

The previous prime is 77097033691. The next prime is 77097033733. The reversal of 77097033728 is 82733079077.

It is a self number, because there is not a number n which added to its sum of digits gives 77097033728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399466400 + ... + 399466592.

It is an arithmetic number, because the mean of its divisors is an integer number (563618888).

Almost surely, 2^77097033728 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 77097033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94687973184).

77097033728 is an abundant number, since it is smaller than the sum of its proper divisors (112278912640).

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

77097033728 is a wasteful number, since it uses less digits than its factorization.

77097033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 53.

The spelling of 77097033728 in words is "seventy-seven billion, ninety-seven million, thirty-three thousand, seven hundred twenty-eight".