77016800 has 144 divisors (see below), whose sum is σ = 227797920. Its totient is φ = 24821760.

The previous prime is 77016757. The next prime is 77016829. The reversal of 77016800 is 861077.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94796 + ... + 95604.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^77016800 is an apocalyptic number.

77016800 is a gapful number since it is divisible by the number (70) 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 77016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960).

77016800 is an abundant number, since it is smaller than the sum of its proper divisors (150781120).

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

77016800 is a wasteful number, since it uses less digits than its factorization.

77016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 77016800 is about 8775.9216040254. The cubic root of 77016800 is about 425.4630247769.

Adding to 77016800 its reverse (861077), we get a palindrome (77877877).

The spelling of 77016800 in words is "seventy-seven million, sixteen thousand, eight hundred".