77807759984640 has 3840 divisors, whose sum is σ = 355089634099200. Its totient is φ = 15887027404800.

The previous prime is 77807759984627. The next prime is 77807759984653. The reversal of 77807759984640 is 4648995770877.

77807759984640 is a `hidden beast` number, since 7 + 7 + 80 + 7 + 75 + 9 + 9 + 8 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77807759984627) and next prime (77807759984653).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×77807759984640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 77807759984640.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 180528445225 + ... + 180528445655.

It is an arithmetic number, because the mean of its divisors is an integer number (92471258880).

Almost surely, 2^{77807759984640} is an apocalyptic number.

77807759984640 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 77807759984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177544817049600).

77807759984640 is an abundant number, since it is smaller than the sum of its proper divisors (277281874114560).

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

77807759984640 is a wasteful number, since it uses less digits than its factorization.

77807759984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 81.

The spelling of 77807759984640 in words is "seventy-seven trillion, eight hundred seven billion, seven hundred fifty-nine million, nine hundred eighty-four thousand, six hundred forty".