78332352000 has 640 divisors, whose sum is σ = 300280780800. Its totient is φ = 17746329600.

The previous prime is 78332351969. The next prime is 78332352017. The reversal of 78332352000 is 25323387.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×78332352000² (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 63 ways as a sum of consecutive naturals, for example, 224447826 + ... + 224448174.

It is an arithmetic number, because the mean of its divisors is an integer number (469188720).

Almost surely, 2^78332352000 is an apocalyptic number.

78332352000 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 78332352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150140390400).

78332352000 is an abundant number, since it is smaller than the sum of its proper divisors (221948428800).

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

78332352000 is a wasteful number, since it uses less digits than its factorization.

78332352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 78332352000 its reverse (25323387), we get a palindrome (78357675387).

The spelling of 78332352000 in words is "seventy-eight billion, three hundred thirty-two million, three hundred fifty-two thousand".