77404360722000 has 1280 divisors, whose sum is σ = 283342760902656. Its totient is φ = 18048476160000.

The previous prime is 77404360721851. The next prime is 77404360722001. The reversal of 77404360722000 is 22706340477.

It is a super-2 number, since 2×77404360722000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77404360722001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27055000570 + ... + 27055003430.

Almost surely, 2^{77404360722000} 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 77404360722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141671380451328).

77404360722000 is an abundant number, since it is smaller than the sum of its proper divisors (205938400180656).

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

77404360722000 is a wasteful number, since it uses less digits than its factorization.

77404360722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 77404360722000 in words is "seventy-seven trillion, four hundred four billion, three hundred sixty million, seven hundred twenty-two thousand".