77366016 has 360 divisors, whose sum is σ = 290853024. Its totient is φ = 19906560.

The previous prime is 77365999. The next prime is 77366017. The reversal of 77366016 is 61066377.

77366016 = 73³ + 74³ + ... + 135³.

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 (77366017) 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, 1886956 + ... + 1886996.

Almost surely, 2^77366016 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 77366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145426512).

77366016 is an abundant number, since it is smaller than the sum of its proper divisors (213487008).

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

77366016 is a wasteful number, since it uses less digits than its factorization.

77366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 77366016 is about 8795.7953591475. The cubic root of 77366016 is about 426.1051119318.

The spelling of 77366016 in words is "seventy-seven million, three hundred sixty-six thousand, sixteen".