78292478124 has 216 divisors, whose sum is σ = 249127377408. Its totient is φ = 21396402720.

The previous prime is 78292478123. The next prime is 78292478161. The reversal of 78292478124 is 42187429287.

78292478124 is a `hidden beast` number, since 7 + 82 + 92 + 478 + 1 + 2 + 4 = 666.

It is a super-2 number, since 2×78292478124² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78292478123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1059709 + ... + 1131179.

It is an arithmetic number, because the mean of its divisors is an integer number (1153367488).

Almost surely, 2^78292478124 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 78292478124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124563688704).

78292478124 is an abundant number, since it is smaller than the sum of its proper divisors (170834899284).

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

78292478124 is a wasteful number, since it uses less digits than its factorization.

78292478124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71527 (or 71506 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 78292478124 in words is "seventy-eight billion, two hundred ninety-two million, four hundred seventy-eight thousand, one hundred twenty-four".