761386752 has 216 divisors, whose sum is σ = 2657412576. Its totient is φ = 204668928.

The previous prime is 761386741. The next prime is 761386763. The reversal of 761386752 is 257683167.

It is an interprime number because it is at equal distance from previous prime (761386741) and next prime (761386763).

It is a super-2 number, since 2×761386752² = 1159419572242219008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 761386698 and 761386707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272788 + ... + 275564.

It is an arithmetic number, because the mean of its divisors is an integer number (12302836).

Almost surely, 2^761386752 is an apocalyptic number.

761386752 is a gapful number since it is divisible by the number (72) 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 761386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328706288).

761386752 is an abundant number, since it is smaller than the sum of its proper divisors (1896025824).

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

761386752 is a wasteful number, since it uses less digits than its factorization.

761386752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2806 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 761386752 is about 27593.2374323855. The cubic root of 761386752 is about 913.1352437126.

The spelling of 761386752 in words is "seven hundred sixty-one million, three hundred eighty-six thousand, seven hundred fifty-two".