78824655840 has 192 divisors, whose sum is σ = 283939084800. Its totient is φ = 18006251520.

The previous prime is 78824655817. The next prime is 78824655841. The reversal of 78824655840 is 4855642887.

It is a super-2 number, since 2×78824655840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78824655841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6482086 + ... + 6494234.

It is an arithmetic number, because the mean of its divisors is an integer number (1478849400).

Almost surely, 2^78824655840 is an apocalyptic number.

78824655840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78824655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141969542400).

78824655840 is an abundant number, since it is smaller than the sum of its proper divisors (205114428960).

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

78824655840 is a wasteful number, since it uses less digits than its factorization.

78824655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 78824655840 in words is "seventy-eight billion, eight hundred twenty-four million, six hundred fifty-five thousand, eight hundred forty".