77917008 has 160 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 22302720.

The previous prime is 77916991. The next prime is 77917009. The reversal of 77917008 is 80071977.

It is a happy number.

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 (77917009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875428 + ... + 875516.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^77917008 is an apocalyptic number.

77917008 is a gapful number since it is divisible by the number (78) 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 77917008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

77917008 is an abundant number, since it is smaller than the sum of its proper divisors (154568112).

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

77917008 is a wasteful number, since it uses less digits than its factorization.

77917008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 39.

The square root of 77917008 is about 8827.0611190815. The cubic root of 77917008 is about 427.1142774316.

The spelling of 77917008 in words is "seventy-seven million, nine hundred seventeen thousand, eight".