77667010434 has 128 divisors (see below), whose sum is σ = 187250810880. Its totient is φ = 23720703552.

The previous prime is 77667010411. The next prime is 77667010451. The reversal of 77667010434 is 43401076677.

It is a self number, because there is not a number n which added to its sum of digits gives 77667010434.

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 63 ways as a sum of consecutive naturals, for example, 85630209 + ... + 85631115.

It is an arithmetic number, because the mean of its divisors is an integer number (1462896960).

Almost surely, 2^77667010434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77667010434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93625405440).

77667010434 is an abundant number, since it is smaller than the sum of its proper divisors (109583800446).

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

77667010434 is a wasteful number, since it uses less digits than its factorization.

77667010434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 77667010434 in words is "seventy-seven billion, six hundred sixty-seven million, ten thousand, four hundred thirty-four".