78011364600 has 768 divisors, whose sum is σ = 309355200000. Its totient is φ = 17899315200.

The previous prime is 78011364559. The next prime is 78011364703. The reversal of 78011364600 is 646311087.

78011364600 is a `hidden beast` number, since 7 + 8 + 0 + 1 + 1 + 3 + 646 + 0 + 0 = 666.

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, 156335151 + ... + 156335649.

It is an arithmetic number, because the mean of its divisors is an integer number (402806250).

Almost surely, 2^78011364600 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 78011364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600000).

78011364600 is an abundant number, since it is smaller than the sum of its proper divisors (231343835400).

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

78011364600 is a wasteful number, since it uses less digits than its factorization.

78011364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 78011364600 its reverse (646311087), we get a palindrome (78657675687).

The spelling of 78011364600 in words is "seventy-eight billion, eleven million, three hundred sixty-four thousand, six hundred".