766590720 has 432 divisors, whose sum is σ = 2990453760. Its totient is φ = 163897344.

The previous prime is 766590691. The next prime is 766590733. The reversal of 766590720 is 27095667.

It is a happy number.

It is a super-2 number, since 2×766590720² = 1175322663980236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9703641 + ... + 9703719.

Almost surely, 2^766590720 is an apocalyptic number.

766590720 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 766590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495226880).

766590720 is an abundant number, since it is smaller than the sum of its proper divisors (2223863040).

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

766590720 is a wasteful number, since it uses less digits than its factorization.

766590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 766590720 is about 27687.3747401230. The cubic root of 766590720 is about 915.2109042338.

The spelling of 766590720 in words is "seven hundred sixty-six million, five hundred ninety thousand, seven hundred twenty".