77789460672 has 1120 divisors, whose sum is σ = 309444664320. Its totient is φ = 18722119680.

The previous prime is 77789460647. The next prime is 77789460673. The reversal of 77789460672 is 27606498777.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (77789460673) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 339691854 + ... + 339692082.

Almost surely, 2^77789460672 is an apocalyptic number.

77789460672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77789460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154722332160).

77789460672 is an abundant number, since it is smaller than the sum of its proper divisors (231655203648).

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

77789460672 is a wasteful number, since it uses less digits than its factorization.

77789460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 77789460672 in words is "seventy-seven billion, seven hundred eighty-nine million, four hundred sixty thousand, six hundred seventy-two".