77735016 has 96 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 23777280.

The previous prime is 77734991. The next prime is 77735017. The reversal of 77735016 is 61053777.

It can be written as a sum of positive squares in 4 ways, for example, as 52272900 + 25462116 = 7230^2 + 5046^2 .

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

It is not an unprimeable number, because it can be changed into a prime (77735017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49410 + ... + 50958.

Almost surely, 2^77735016 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 77735016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

77735016 is an abundant number, since it is smaller than the sum of its proper divisors (150765984).

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

77735016 is a wasteful number, since it uses less digits than its factorization.

77735016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 77735016 is about 8816.7463386444. The cubic root of 77735016 is about 426.7814789764.

The spelling of 77735016 in words is "seventy-seven million, seven hundred thirty-five thousand, sixteen".