77016808 has 64 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 33358080.

The previous prime is 77016757. The next prime is 77016829. The reversal of 77016808 is 80861077.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 262710 + ... + 263002.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^77016808 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 77016808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

77016808 is an abundant number, since it is smaller than the sum of its proper divisors (88093592).

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

77016808 is a wasteful number, since it uses less digits than its factorization.

77016808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 77016808 is about 8775.9220598180. The cubic root of 77016808 is about 425.4630395084.

It can be divided in two parts, 770 and 16808, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 77016808 in words is "seventy-seven million, sixteen thousand, eight hundred eight".