78673452240 has 320 divisors, whose sum is σ = 263203725312. Its totient is φ = 19388160000.

The previous prime is 78673452229. The next prime is 78673452241. The reversal of 78673452240 is 4225437687.

It is a super-2 number, since 2×78673452240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78673452240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78673452241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30838965 + ... + 30841515.

Almost surely, 2^78673452240 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 78673452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131601862656).

78673452240 is an abundant number, since it is smaller than the sum of its proper divisors (184530273072).

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

78673452240 is a wasteful number, since it uses less digits than its factorization.

78673452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 78673452240 in words is "seventy-eight billion, six hundred seventy-three million, four hundred fifty-two thousand, two hundred forty".