77316096 has 180 divisors, whose sum is σ = 244048616. Its totient is φ = 21626880.

The previous prime is 77316091. The next prime is 77316101. The reversal of 77316096 is 69061377.

It is an interprime number because it is at equal distance from previous prime (77316091) and next prime (77316101).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77316091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947386 + ... + 5947398.

Almost surely, 2^77316096 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 77316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122024308).

77316096 is an abundant number, since it is smaller than the sum of its proper divisors (166732520).

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

77316096 is a wasteful number, since it uses less digits than its factorization.

77316096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 77316096 is about 8792.9571817449. The cubic root of 77316096 is about 426.0134448797.

Multiplying 77316096 by its sum of digits (39), we get a square (3015327744 = 54912²).

77316096 divided by its sum of digits (39) gives a square (1982464 = 1408²).

The spelling of 77316096 in words is "seventy-seven million, three hundred sixteen thousand, ninety-six".