78314519520 has 240 divisors, whose sum is σ = 278567106048. Its totient is φ = 20718996480.

The previous prime is 78314519519. The next prime is 78314519527. The reversal of 78314519520 is 2591541387.

78314519520 is a `hidden beast` number, since 7 + 83 + 1 + 4 + 519 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78314519520² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78314519527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1622130 + ... + 1669710.

Almost surely, 2^78314519520 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 78314519520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139283553024).

78314519520 is an abundant number, since it is smaller than the sum of its proper divisors (200252586528).

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

78314519520 is a wasteful number, since it uses less digits than its factorization.

78314519520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47735 (or 47718 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 78314519520 in words is "seventy-eight billion, three hundred fourteen million, five hundred nineteen thousand, five hundred twenty".