77970880260 has 768 divisors, whose sum is σ = 318457036800. Its totient is φ = 15570040320.

The previous prime is 77970880259. The next prime is 77970880271. The reversal of 77970880260 is 6208807977.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77970880197 and 77970880206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75625945 + ... + 75626975.

It is an arithmetic number, because the mean of its divisors is an integer number (414657600).

Almost surely, 2^77970880260 is an apocalyptic number.

77970880260 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 77970880260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159228518400).

77970880260 is an abundant number, since it is smaller than the sum of its proper divisors (240486156540).

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

77970880260 is a wasteful number, since it uses less digits than its factorization.

77970880260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 77970880260 in words is "seventy-seven billion, nine hundred seventy million, eight hundred eighty thousand, two hundred sixty".