761451565420 has 192 divisors, whose sum is σ = 2119823354880. Its totient is φ = 222993533952.

The previous prime is 761451565411. The next prime is 761451565421. The reversal of 761451565420 is 24565154167.

It is not an unprimeable number, because it can be changed into a prime (761451565421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230894 + ... + 1742986.

It is an arithmetic number, because the mean of its divisors is an integer number (11040746640).

Almost surely, 2^761451565420 is an apocalyptic number.

761451565420 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 761451565420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059911677440).

761451565420 is an abundant number, since it is smaller than the sum of its proper divisors (1358371789460).

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

761451565420 is a wasteful number, since it uses less digits than its factorization.

761451565420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512184 (or 512182 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 761451565420 in words is "seven hundred sixty-one billion, four hundred fifty-one million, five hundred sixty-five thousand, four hundred twenty".