78343557600 has 576 divisors, whose sum is σ = 325359175680. Its totient is φ = 15898982400.

The previous prime is 78343557583. The next prime is 78343557653. The reversal of 78343557600 is 675534387.

It is a super-2 number, since 2×78343557600² (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 78343557600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7941471 + ... + 7951329.

It is an arithmetic number, because the mean of its divisors is an integer number (564859680).

Almost surely, 2^78343557600 is an apocalyptic number.

78343557600 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 78343557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162679587840).

78343557600 is an abundant number, since it is smaller than the sum of its proper divisors (247015618080).

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

78343557600 is a wasteful number, since it uses less digits than its factorization.

78343557600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 78343557600 in words is "seventy-eight billion, three hundred forty-three million, five hundred fifty-seven thousand, six hundred".