77670552960 has 1536 divisors, whose sum is σ = 379596672000. Its totient is φ = 14093844480.

The previous prime is 77670552919. The next prime is 77670552977. The reversal of 77670552960 is 6925507677.

It is a super-2 number, since 2×77670552960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77670552897 and 77670552906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109549086 + ... + 109549794.

It is an arithmetic number, because the mean of its divisors is an integer number (247133250).

Almost surely, 2^77670552960 is an apocalyptic number.

77670552960 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 77670552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189798336000).

77670552960 is an abundant number, since it is smaller than the sum of its proper divisors (301926119040).

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

77670552960 is a wasteful number, since it uses less digits than its factorization.

77670552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 77670552960 in words is "seventy-seven billion, six hundred seventy million, five hundred fifty-two thousand, nine hundred sixty".