77368512 has 112 divisors (see below), whose sum is σ = 223032320. Its totient is φ = 23528448.

The previous prime is 77368507. The next prime is 77368519. The reversal of 77368512 is 21586377.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (77368519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346833 + ... + 347055.

It is an arithmetic number, because the mean of its divisors is an integer number (1991360).

Almost surely, 2^77368512 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 77368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111516160).

77368512 is an abundant number, since it is smaller than the sum of its proper divisors (145663808).

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

77368512 is a wasteful number, since it uses less digits than its factorization.

77368512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 77368512 is about 8795.9372439780. The cubic root of 77368512 is about 426.1096942492.

The spelling of 77368512 in words is "seventy-seven million, three hundred sixty-eight thousand, five hundred twelve".