78103452000 has 576 divisors, whose sum is σ = 313351234560. Its totient is φ = 16910208000.

The previous prime is 78103451971. The next prime is 78103452001. The reversal of 78103452000 is 25430187.

It is a super-2 number, since 2×78103452000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78103452001) 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, 11168505 + ... + 11175495.

It is an arithmetic number, because the mean of its divisors is an integer number (544012560).

Almost surely, 2^78103452000 is an apocalyptic number.

78103452000 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 78103452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156675617280).

78103452000 is an abundant number, since it is smaller than the sum of its proper divisors (235247782560).

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

78103452000 is a wasteful number, since it uses less digits than its factorization.

78103452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 78103452000 its reverse (25430187), we get a palindrome (78128882187).

The spelling of 78103452000 in words is "seventy-eight billion, one hundred three million, four hundred fifty-two thousand".