77083799321088 has 960 divisors, whose sum is σ = 270012478095360. Its totient is φ = 20704016793600.

The previous prime is 77083799321029. The next prime is 77083799321099. The reversal of 77083799321088 is 88012399738077.

77083799321088 is a `hidden beast` number, since 7 + 70 + 8 + 379 + 93 + 21 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9798368931 + ... + 9798376797.

It is an arithmetic number, because the mean of its divisors is an integer number (281262998016).

Almost surely, 2^{77083799321088} 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 77083799321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135006239047680).

77083799321088 is an abundant number, since it is smaller than the sum of its proper divisors (192928678774272).

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

77083799321088 is a wasteful number, since it uses less digits than its factorization.

77083799321088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 77083799321088 in words is "seventy-seven trillion, eighty-three billion, seven hundred ninety-nine million, three hundred twenty-one thousand, eighty-eight".