761303162880 has 1120 divisors, whose sum is σ = 3097212703200. Its totient is φ = 177343561728.

The previous prime is 761303162869. The next prime is 761303162897. The reversal of 761303162880 is 88261303167.

761303162880 is a `hidden beast` number, since 7 + 6 + 13 + 0 + 3 + 1 + 628 + 8 + 0 = 666.

It is a super-2 number, since 2×761303162880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819486256 + ... + 819487184.

It is an arithmetic number, because the mean of its divisors is an integer number (2765368485).

Almost surely, 2^761303162880 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 761303162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548606351600).

761303162880 is an abundant number, since it is smaller than the sum of its proper divisors (2335909540320).

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

761303162880 is a wasteful number, since it uses less digits than its factorization.

761303162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 761303162880 in words is "seven hundred sixty-one billion, three hundred three million, one hundred sixty-two thousand, eight hundred eighty".