77780736 has 270 divisors, whose sum is σ = 263152736. Its totient is φ = 22809600.

The previous prime is 77780707. The next prime is 77780741. The reversal of 77780736 is 63708777.

It is a junction number, because it is equal to n+sod(n) for n = 77780691 and 77780700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2509041 + ... + 2509071.

Almost surely, 2^77780736 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 77780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131576368).

77780736 is an abundant number, since it is smaller than the sum of its proper divisors (185372000).

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

77780736 is a wasteful number, since it uses less digits than its factorization.

77780736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

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

The square root of 77780736 is about 8819.3387507228. The cubic root of 77780736 is about 426.8651333621.

The spelling of 77780736 in words is "seventy-seven million, seven hundred eighty thousand, seven hundred thirty-six".