78292776960 has 384 divisors, whose sum is σ = 279901440000. Its totient is φ = 20758560768.

The previous prime is 78292776959. The next prime is 78292776983. The reversal of 78292776960 is 6967729287.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78292776960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55018809 + ... + 55020231.

It is an arithmetic number, because the mean of its divisors is an integer number (728910000).

Almost surely, 2^78292776960 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 78292776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139950720000).

78292776960 is an abundant number, since it is smaller than the sum of its proper divisors (201608663040).

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

78292776960 is a wasteful number, since it uses less digits than its factorization.

78292776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 78292776960 in words is "seventy-eight billion, two hundred ninety-two million, seven hundred seventy-six thousand, nine hundred sixty".