77228870757120 has 576 divisors, whose sum is σ = 286380686592000. Its totient is φ = 19670715187200.

The previous prime is 77228870757067. The next prime is 77228870757139. The reversal of 77228870757120 is 2175707882277.

It is a tau number, because it is divible by the number of its divisors (576).

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, 557141581 + ... + 557280179.

It is an arithmetic number, because the mean of its divisors is an integer number (497188692000).

Almost surely, 2^{77228870757120} 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 77228870757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143190343296000).

77228870757120 is an abundant number, since it is smaller than the sum of its proper divisors (209151815834880).

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

77228870757120 is a wasteful number, since it uses less digits than its factorization.

77228870757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139353 (or 139333 counting only the distinct ones).

The product of its (nonzero) digits is 43025920, while the sum is 63.

The spelling of 77228870757120 in words is "seventy-seven trillion, two hundred twenty-eight billion, eight hundred seventy million, seven hundred fifty-seven thousand, one hundred twenty".