78318424800 has 1728 divisors, whose sum is σ = 372351168000. Its totient is φ = 15748992000.

The previous prime is 78318424759. The next prime is 78318424817. The reversal of 78318424800 is 842481387.

It is a super-2 number, since 2×78318424800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2526400785 + ... + 2526400815.

It is an arithmetic number, because the mean of its divisors is an integer number (215481000).

Almost surely, 2^78318424800 is an apocalyptic number.

78318424800 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 78318424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186175584000).

78318424800 is an abundant number, since it is smaller than the sum of its proper divisors (294032743200).

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

78318424800 is a wasteful number, since it uses less digits than its factorization.

78318424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 78318424800 in words is "seventy-eight billion, three hundred eighteen million, four hundred twenty-four thousand, eight hundred".