77134068 has 72 divisors (see below), whose sum is σ = 214774560. Its totient is φ = 23146560.

The previous prime is 77134067. The next prime is 77134069. The reversal of 77134068 is 86043177.

It is an interprime number because it is at equal distance from previous prime (77134067) and next prime (77134069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77134061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42271 + ... + 44057.

It is an arithmetic number, because the mean of its divisors is an integer number (2982980).

Almost surely, 2^77134068 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 77134068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107387280).

77134068 is an abundant number, since it is smaller than the sum of its proper divisors (137640492).

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

77134068 is a wasteful number, since it uses less digits than its factorization.

77134068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77134068 is about 8782.6002983171. The cubic root of 77134068 is about 425.6788560261.

It can be divided in two parts, 7713 and 4068, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 77134068 in words is "seventy-seven million, one hundred thirty-four thousand, sixty-eight".