78418442520 has 896 divisors, whose sum is σ = 311324523840. Its totient is φ = 17557585920.

The previous prime is 78418442519. The next prime is 78418442539. The reversal of 78418442520 is 2524481487.

78418442520 is a `hidden beast` number, since 7 + 8 + 4 + 1 + 84 + 42 + 520 = 666.

It is a super-2 number, since 2×78418442520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 398063062 + ... + 398063258.

Almost surely, 2^78418442520 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 78418442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155662261920).

78418442520 is an abundant number, since it is smaller than the sum of its proper divisors (232906081320).

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

78418442520 is a wasteful number, since it uses less digits than its factorization.

78418442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 78418442520 in words is "seventy-eight billion, four hundred eighteen million, four hundred forty-two thousand, five hundred twenty".