77094707744320 has 224 divisors, whose sum is σ = 218133192384000. Its totient is φ = 25392756178944.

The previous prime is 77094707744293. The next prime is 77094707744399. The reversal of 77094707744320 is 2344770749077.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×77094707744320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9945124 + ... + 15908956.

Almost surely, 2^{77094707744320} is an apocalyptic number.

77094707744320 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 77094707744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109066596192000).

77094707744320 is an abundant number, since it is smaller than the sum of its proper divisors (141038484639680).

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

77094707744320 is a wasteful number, since it uses less digits than its factorization.

77094707744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964085 (or 5964075 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 61.

The spelling of 77094707744320 in words is "seventy-seven trillion, ninety-four billion, seven hundred seven million, seven hundred forty-four thousand, three hundred twenty".