77700744 has 192 divisors, whose sum is σ = 252720000. Its totient is φ = 21288960.

The previous prime is 77700743. The next prime is 77700757. The reversal of 77700744 is 44700777.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77700699 and 77700708.

It is not an unprimeable number, because it can be changed into a prime (77700743) 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 47 ways as a sum of consecutive naturals, for example, 390357 + ... + 390555.

It is an arithmetic number, because the mean of its divisors is an integer number (1316250).

Almost surely, 2^77700744 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 77700744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360000).

77700744 is an abundant number, since it is smaller than the sum of its proper divisors (175019256).

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

77700744 is a wasteful number, since it uses less digits than its factorization.

77700744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 77700744 is about 8814.8025502560. The cubic root of 77700744 is about 426.7187496099.

The spelling of 77700744 in words is "seventy-seven million, seven hundred thousand, seven hundred forty-four".