78213408000 has 864 divisors, whose sum is σ = 325700444160. Its totient is φ = 16489267200.

The previous prime is 78213407863. The next prime is 78213408043. The reversal of 78213408000 is 80431287.

It is a super-2 number, since 2×78213408000² (a number of 23 digits) contains 22 as substring.

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, 61151361 + ... + 61152639.

Almost surely, 2^78213408000 is an apocalyptic number.

78213408000 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 78213408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162850222080).

78213408000 is an abundant number, since it is smaller than the sum of its proper divisors (247487036160).

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

78213408000 is a wasteful number, since it uses less digits than its factorization.

78213408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 78213408000 its reverse (80431287), we get a palindrome (78293839287).

The spelling of 78213408000 in words is "seventy-eight billion, two hundred thirteen million, four hundred eight thousand".