77078732280 has 512 divisors, whose sum is σ = 271680998400. Its totient is φ = 17315020800.

The previous prime is 77078732279. The next prime is 77078732281. The reversal of 77078732280 is 8223787077.

It is an interprime number because it is at equal distance from previous prime (77078732279) and next prime (77078732281).

It is a super-2 number, since 2×77078732280² (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 (77078732281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 105154794 + ... + 105155526.

It is an arithmetic number, because the mean of its divisors is an integer number (530626950).

Almost surely, 2^77078732280 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 77078732280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135840499200).

77078732280 is an abundant number, since it is smaller than the sum of its proper divisors (194602266120).

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

77078732280 is a wasteful number, since it uses less digits than its factorization.

77078732280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 51.

The spelling of 77078732280 in words is "seventy-seven billion, seventy-eight million, seven hundred thirty-two thousand, two hundred eighty".