8077407661440 has 1280 divisors, whose sum is σ = 31720766616000. Its totient is φ = 1946622689280.

The previous prime is 8077407661331. The next prime is 8077407661471. The reversal of 8077407661440 is 441667047708.

8077407661440 is a `hidden beast` number, since 8 + 0 + 7 + 74 + 0 + 76 + 61 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14347082599 + ... + 14347083161.

Almost surely, 2^{8077407661440} is an apocalyptic number.

8077407661440 is a gapful number since it is divisible by the number (80) 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 8077407661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860383308000).

8077407661440 is an abundant number, since it is smaller than the sum of its proper divisors (23643358954560).

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

8077407661440 is a wasteful number, since it uses less digits than its factorization.

8077407661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 8077407661440 in words is "eight trillion, seventy-seven billion, four hundred seven million, six hundred sixty-one thousand, four hundred forty".