760829760 has 280 divisors, whose sum is σ = 2738399400. Its totient is φ = 200503296.

The previous prime is 760829723. The next prime is 760829767. The reversal of 760829760 is 67928067.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 129413376 + 631416384 = 11376^2 + 25128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760829767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3861982 + ... + 3862178.

Almost surely, 2^760829760 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 760829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369199700).

760829760 is an abundant number, since it is smaller than the sum of its proper divisors (1977569640).

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

760829760 is a wasteful number, since it uses less digits than its factorization.

760829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 760829760 is about 27583.1426780924. The cubic root of 760829760 is about 912.9125215551.

The spelling of 760829760 in words is "seven hundred sixty million, eight hundred twenty-nine thousand, seven hundred sixty".