77157987730960 has 320 divisors, whose sum is σ = 188631035412480. Its totient is φ = 29317562910720.

The previous prime is 77157987730933. The next prime is 77157987730963. The reversal of 77157987730960 is 6903778975177.

It is not an unprimeable number, because it can be changed into a prime (77157987730963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11756508639 + ... + 11756515201.

It is an arithmetic number, because the mean of its divisors is an integer number (589471985664).

Almost surely, 2^{77157987730960} 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 77157987730960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94315517706240).

77157987730960 is an abundant number, since it is smaller than the sum of its proper divisors (111473047681520).

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

77157987730960 is a wasteful number, since it uses less digits than its factorization.

77157987730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 980184240, while the sum is 76.

The spelling of 77157987730960 in words is "seventy-seven trillion, one hundred fifty-seven billion, nine hundred eighty-seven million, seven hundred thirty thousand, nine hundred sixty".