760730880 has 432 divisors, whose sum is σ = 3053441664. Its totient is φ = 159989760.

The previous prime is 760730833. The next prime is 760730881. The reversal of 760730880 is 88037067.

It is a super-2 number, since 2×760730880² = 1157422943571148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760730881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445925 + ... + 2446235.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2^760730880 is an apocalyptic number.

760730880 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 760730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526720832).

760730880 is an abundant number, since it is smaller than the sum of its proper divisors (2292710784).

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

760730880 is a wasteful number, since it uses less digits than its factorization.

760730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 760730880 is about 27581.3502207561. The cubic root of 760730880 is about 912.8729714456.

The spelling of 760730880 in words is "seven hundred sixty million, seven hundred thirty thousand, eight hundred eighty".