78273802656 has 1152 divisors, whose sum is σ = 299322777600. Its totient is φ = 19752284160.

The previous prime is 78273802631. The next prime is 78273802709. The reversal of 78273802656 is 65620837287.

It is a super-2 number, since 2×78273802656² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1072243836 + ... + 1072243908.

It is an arithmetic number, because the mean of its divisors is an integer number (259828800).

Almost surely, 2^78273802656 is an apocalyptic number.

78273802656 is a gapful number since it is divisible by the number (76) 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 78273802656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149661388800).

78273802656 is an abundant number, since it is smaller than the sum of its proper divisors (221048974944).

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

78273802656 is a wasteful number, since it uses less digits than its factorization.

78273802656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 78273802656 in words is "seventy-eight billion, two hundred seventy-three million, eight hundred two thousand, six hundred fifty-six".