77786016 has 192 divisors, whose sum is σ = 269982720. Its totient is φ = 18984960.

The previous prime is 77785969. The next prime is 77786029. The reversal of 77786016 is 61068777.

77786016 = T₈₃ + T₈₄ + ... + T₇₇₅.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125355 + ... + 125973.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^77786016 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 77786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

77786016 is an abundant number, since it is smaller than the sum of its proper divisors (192196704).

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

77786016 is a wasteful number, since it uses less digits than its factorization.

77786016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 77786016 is about 8819.6380878129. The cubic root of 77786016 is about 426.8747921243.

The spelling of 77786016 in words is "seventy-seven million, seven hundred eighty-six thousand, sixteen".