756806040 has 192 divisors, whose sum is σ = 2582798400. Its totient is φ = 191923200.

The previous prime is 756806021. The next prime is 756806047. The reversal of 756806040 is 40608657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 756805986 and 756806004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756806047) 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, 740730 + ... + 741750.

It is an arithmetic number, because the mean of its divisors is an integer number (13452075).

Almost surely, 2^756806040 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 756806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291399200).

756806040 is an abundant number, since it is smaller than the sum of its proper divisors (1825992360).

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

756806040 is a wasteful number, since it uses less digits than its factorization.

756806040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 756806040 is about 27510.1079605297. The cubic root of 756806040 is about 911.3003347924.

The spelling of 756806040 in words is "seven hundred fifty-six million, eight hundred six thousand, forty".