752765608980 has 1728 divisors, whose sum is σ = 3260573761536. Its totient is φ = 142058188800.

The previous prime is 752765608967. The next prime is 752765609023. The reversal of 752765608980 is 89806567257.

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

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 2169353167 + ... + 2169353513.

It is an arithmetic number, because the mean of its divisors is an integer number (1886906112).

Almost surely, 2^752765608980 is an apocalyptic number.

752765608980 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 752765608980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630286880768).

752765608980 is an abundant number, since it is smaller than the sum of its proper divisors (2507808152556).

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

752765608980 is a wasteful number, since it uses less digits than its factorization.

752765608980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 752765608980 in words is "seven hundred fifty-two billion, seven hundred sixty-five million, six hundred eight thousand, nine hundred eighty".