8025177776880 has 960 divisors, whose sum is σ = 28938947788800. Its totient is φ = 1835823052800.

The previous prime is 8025177776873. The next prime is 8025177776887. The reversal of 8025177776880 is 886777715208.

It is an interprime number because it is at equal distance from previous prime (8025177776873) and next prime (8025177776887).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025177776887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7382867697 + ... + 7382868783.

It is an arithmetic number, because the mean of its divisors is an integer number (30144737280).

Almost surely, 2^{8025177776880} is an apocalyptic number.

8025177776880 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 8025177776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469473894400).

8025177776880 is an abundant number, since it is smaller than the sum of its proper divisors (20913770011920).

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

8025177776880 is a wasteful number, since it uses less digits than its factorization.

8025177776880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 66.

The spelling of 8025177776880 in words is "eight trillion, twenty-five billion, one hundred seventy-seven million, seven hundred seventy-six thousand, eight hundred eighty".