77082368173440 has 768 divisors, whose sum is σ = 288571083433920. Its totient is φ = 17449626894336.

The previous prime is 77082368173423. The next prime is 77082368173457. The reversal of 77082368173440 is 4437186328077.

It is an interprime number because it is at equal distance from previous prime (77082368173423) and next prime (77082368173457).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 4623176944 + ... + 4623193616.

Almost surely, 2^{77082368173440} is an apocalyptic number.

77082368173440 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 77082368173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144285541716960).

77082368173440 is an abundant number, since it is smaller than the sum of its proper divisors (211488715260480).

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

77082368173440 is a wasteful number, since it uses less digits than its factorization.

77082368173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17160 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 77082368173440 in words is "seventy-seven trillion, eighty-two billion, three hundred sixty-eight million, one hundred seventy-three thousand, four hundred forty".