775005887880 has 768 divisors, whose sum is σ = 3091182082560. Its totient is φ = 164376576000.

The previous prime is 775005887879. The next prime is 775005887893. The reversal of 775005887880 is 88788500577.

775005887880 is a `hidden beast` number, since 7 + 7 + 500 + 58 + 8 + 78 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1105571530 + ... + 1105572230.

It is an arithmetic number, because the mean of its divisors is an integer number (4024976670).

Almost surely, 2^775005887880 is an apocalyptic number.

775005887880 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 775005887880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545591041280).

775005887880 is an abundant number, since it is smaller than the sum of its proper divisors (2316176194680).

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

775005887880 is a wasteful number, since it uses less digits than its factorization.

775005887880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 63.

The spelling of 775005887880 in words is "seven hundred seventy-five billion, five million, eight hundred eighty-seven thousand, eight hundred eighty".