765364898880 has 672 divisors, whose sum is σ = 2832636549600. Its totient is φ = 189000843264.

The previous prime is 765364898873. The next prime is 765364898911. The reversal of 765364898880 is 88898463567.

765364898880 is a `hidden beast` number, since 7 + 6 + 536 + 4 + 8 + 9 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3068273664 + 762296625216 = 55392^2 + 873096^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 765364898799 and 765364898808.

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, 923238306 + ... + 923239134.

Almost surely, 2^765364898880 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 765364898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416318274800).

765364898880 is an abundant number, since it is smaller than the sum of its proper divisors (2067271650720).

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

765364898880 is a wasteful number, since it uses less digits than its factorization.

765364898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 765364898880 in words is "seven hundred sixty-five billion, three hundred sixty-four million, eight hundred ninety-eight thousand, eight hundred eighty".