77350068 has 72 divisors (see below), whose sum is σ = 208353600. Its totient is φ = 24111360.

The previous prime is 77350057. The next prime is 77350069. The reversal of 77350068 is 86005377.

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 (77350069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128833 + ... + 129431.

It is an arithmetic number, because the mean of its divisors is an integer number (2893800).

Almost surely, 2^77350068 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 77350068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104176800).

77350068 is an abundant number, since it is smaller than the sum of its proper divisors (131003532).

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

77350068 is a wasteful number, since it uses less digits than its factorization.

77350068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77350068 is about 8794.8887429006. Note that the first 3 decimals coincide. The cubic root of 77350068 is about 426.0758312405.

The spelling of 77350068 in words is "seventy-seven million, three hundred fifty thousand, sixty-eight".