77680512000 has 2112 divisors, whose sum is σ = 374001638400. Its totient is φ = 15527116800.

The previous prime is 77680511999. The next prime is 77680512017. The reversal of 77680512000 is 21508677.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4088447991 + ... + 4088448009.

Almost surely, 2^77680512000 is an apocalyptic number.

77680512000 is a gapful number since it is divisible by the number (70) 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 77680512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187000819200).

77680512000 is an abundant number, since it is smaller than the sum of its proper divisors (296321126400).

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

77680512000 is a wasteful number, since it uses less digits than its factorization.

77680512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 77680512000 in words is "seventy-seven billion, six hundred eighty million, five hundred twelve thousand".