760040960 has 240 divisors, whose sum is σ = 2174767056. Its totient is φ = 253919232.

The previous prime is 760040921. The next prime is 760040969. The reversal of 760040960 is 69040067.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760040969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9157079 + ... + 9157161.

Almost surely, 2^760040960 is an apocalyptic number.

760040960 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 760040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087383528).

760040960 is an abundant number, since it is smaller than the sum of its proper divisors (1414726096).

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

760040960 is an equidigital number, since it uses as much as digits as its factorization.

760040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 760040960 is about 27568.8403818514. The cubic root of 760040960 is about 912.5969212120.

The spelling of 760040960 in words is "seven hundred sixty million, forty thousand, nine hundred sixty".