77810016 has 96 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 23708160.

The previous prime is 77810009. The next prime is 77810021. The reversal of 77810016 is 61001877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52161 + ... + 53631.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 2^77810016 is an apocalyptic number.

77810016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77810016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

77810016 is an abundant number, since it is smaller than the sum of its proper divisors (144756384).

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

77810016 is a wasteful number, since it uses less digits than its factorization.

77810016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 77810016 is about 8820.9985829270. The cubic root of 77810016 is about 426.9186900812.

The spelling of 77810016 in words is "seventy-seven million, eight hundred ten thousand, sixteen".