78152672000 has 576 divisors, whose sum is σ = 228043880064. Its totient is φ = 26424115200.

The previous prime is 78152671939. The next prime is 78152672009. The reversal of 78152672000 is 27625187.

It is a super-2 number, since 2×78152672000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78152672009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304095872 + ... + 304096128.

It is an arithmetic number, because the mean of its divisors is an integer number (395909514).

Almost surely, 2^78152672000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78152672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114021940032).

78152672000 is an abundant number, since it is smaller than the sum of its proper divisors (149891208064).

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

78152672000 is a wasteful number, since it uses less digits than its factorization.

78152672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 78152672000 in words is "seventy-eight billion, one hundred fifty-two million, six hundred seventy-two thousand".