77338740600 has 384 divisors, whose sum is σ = 294302592000. Its totient is φ = 18510336000.

The previous prime is 77338740599. The next prime is 77338740601. The reversal of 77338740600 is 604783377.

77338740600 is a `hidden beast` number, since 7 + 7 + 3 + 38 + 7 + 4 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (77338740599) and next prime (77338740601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77338740601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4684360 + ... + 4700840.

It is an arithmetic number, because the mean of its divisors is an integer number (766413000).

Almost surely, 2^77338740600 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 77338740600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147151296000).

77338740600 is an abundant number, since it is smaller than the sum of its proper divisors (216963851400).

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

77338740600 is a wasteful number, since it uses less digits than its factorization.

77338740600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 77338740600 in words is "seventy-seven billion, three hundred thirty-eight million, seven hundred forty thousand, six hundred".