77360906520 has 192 divisors, whose sum is σ = 276072844320. Its totient is φ = 19416029184.

The previous prime is 77360906473. The next prime is 77360906549. The reversal of 77360906520 is 2560906377.

77360906520 is a `hidden beast` number, since 7 + 7 + 36 + 0 + 90 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68847 + ... + 399326.

Almost surely, 2^77360906520 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 77360906520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138036422160).

77360906520 is an abundant number, since it is smaller than the sum of its proper divisors (198711937800).

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

77360906520 is a wasteful number, since it uses less digits than its factorization.

77360906520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468216 (or 468200 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 77360906520 in words is "seventy-seven billion, three hundred sixty million, nine hundred six thousand, five hundred twenty".