78384633600 has 1944 divisors, whose sum is σ = 356912937360. Its totient is φ = 15028715520.

The previous prime is 78384633493. The next prime is 78384633601. The reversal of 78384633600 is 633648387.

It is a super-2 number, since 2×78384633600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78384633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78384633601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2702918386 + ... + 2702918414.

It is an arithmetic number, because the mean of its divisors is an integer number (183597190).

Almost surely, 2^78384633600 is an apocalyptic number.

78384633600 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 78384633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178456468680).

78384633600 is an abundant number, since it is smaller than the sum of its proper divisors (278528303760).

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

78384633600 is a wasteful number, since it uses less digits than its factorization.

78384633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 78384633600 in words is "seventy-eight billion, three hundred eighty-four million, six hundred thirty-three thousand, six hundred".