77680512 has 384 divisors, whose sum is σ = 298656000. Its totient is φ = 19408896.

The previous prime is 77680487. The next prime is 77680543. The reversal of 77680512 is 21508677.

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

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 47 ways as a sum of consecutive naturals, for example, 4088439 + ... + 4088457.

It is an arithmetic number, because the mean of its divisors is an integer number (777750).

Almost surely, 2^77680512 is an apocalyptic number.

77680512 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 77680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328000).

77680512 is an abundant number, since it is smaller than the sum of its proper divisors (220975488).

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

77680512 is a wasteful number, since it uses less digits than its factorization.

77680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

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

The square root of 77680512 is about 8813.6548604991. The cubic root of 77680512 is about 426.6817095391.

The spelling of 77680512 in words is "seventy-seven million, six hundred eighty thousand, five hundred twelve".