78324019200 has 1560 divisors, whose sum is σ = 353945560320. Its totient is φ = 16721510400.

The previous prime is 78324019159. The next prime is 78324019211. The reversal of 78324019200 is 291042387.

It is a super-2 number, since 2×78324019200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1103155165 + ... + 1103155235.

Almost surely, 2^78324019200 is an apocalyptic number.

78324019200 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 78324019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176972780160).

78324019200 is an abundant number, since it is smaller than the sum of its proper divisors (275621541120).

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

78324019200 is a wasteful number, since it uses less digits than its factorization.

78324019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78324019200 in words is "seventy-eight billion, three hundred twenty-four million, nineteen thousand, two hundred".