78130915200 has 1152 divisors, whose sum is σ = 319048329600. Its totient is φ = 18761932800.

The previous prime is 78130915147. The next prime is 78130915207. The reversal of 78130915200 is 251903187.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78130915200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78130915207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 596419135 + ... + 596419265.

It is an arithmetic number, because the mean of its divisors is an integer number (276951675).

Almost surely, 2^78130915200 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 78130915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159524164800).

78130915200 is an abundant number, since it is smaller than the sum of its proper divisors (240917414400).

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

78130915200 is a wasteful number, since it uses less digits than its factorization.

78130915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 78130915200 in words is "seventy-eight billion, one hundred thirty million, nine hundred fifteen thousand, two hundred".