78207277680 has 320 divisors, whose sum is σ = 308165990400. Its totient is φ = 17858396160.

The previous prime is 78207277609. The next prime is 78207277711. The reversal of 78207277680 is 8677270287.

It is a happy number.

It is a super-2 number, since 2×78207277680² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21302245 + ... + 21305915.

It is an arithmetic number, because the mean of its divisors is an integer number (963018720).

Almost surely, 2^78207277680 is an apocalyptic number.

78207277680 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 78207277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154082995200).

78207277680 is an abundant number, since it is smaller than the sum of its proper divisors (229958712720).

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

78207277680 is a wasteful number, since it uses less digits than its factorization.

78207277680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 78207277680 in words is "seventy-eight billion, two hundred seven million, two hundred seventy-seven thousand, six hundred eighty".