77606858880 has 384 divisors, whose sum is σ = 283790520000. Its totient is φ = 19487858688.

The previous prime is 77606858873. The next prime is 77606858887. The reversal of 77606858880 is 8885860677.

It is an interprime number because it is at equal distance from previous prime (77606858873) and next prime (77606858887).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (77606858887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18931071 + ... + 18935169.

Almost surely, 2^77606858880 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 77606858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141895260000).

77606858880 is an abundant number, since it is smaller than the sum of its proper divisors (206183661120).

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

77606858880 is a wasteful number, since it uses less digits than its factorization.

77606858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 77606858880 in words is "seventy-seven billion, six hundred six million, eight hundred fifty-eight thousand, eight hundred eighty".