77766004746 has 64 divisors (see below), whose sum is σ = 175915858560. Its totient is φ = 25458935040.

The previous prime is 77766004709. The next prime is 77766004751. The reversal of 77766004746 is 64740066777.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77766004692 and 77766004701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187376 + ... + 1251156.

It is an arithmetic number, because the mean of its divisors is an integer number (2748685290).

Almost surely, 2^77766004746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77766004746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87957929280).

77766004746 is an abundant number, since it is smaller than the sum of its proper divisors (98149853814).

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

77766004746 is a wasteful number, since it uses less digits than its factorization.

77766004746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64196 (or 64190 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 77766004746 in words is "seventy-seven billion, seven hundred sixty-six million, four thousand, seven hundred forty-six".