756878472 has 128 divisors (see below), whose sum is σ = 2410905600. Its totient is φ = 215521344.

The previous prime is 756878449. The next prime is 756878483. The reversal of 756878472 is 274878657.

It is a happy number.

756878472 is a `hidden beast` number, since 7 + 568 + 7 + 8 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578443 + ... + 579749.

It is an arithmetic number, because the mean of its divisors is an integer number (18835200).

Almost surely, 2^756878472 is an apocalyptic number.

756878472 is a gapful number since it is divisible by the number (72) 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 756878472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205452800).

756878472 is an abundant number, since it is smaller than the sum of its proper divisors (1654027128).

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

756878472 is a wasteful number, since it uses less digits than its factorization.

756878472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 756878472 is about 27511.4243906054. The cubic root of 756878472 is about 911.3294066182.

The spelling of 756878472 in words is "seven hundred fifty-six million, eight hundred seventy-eight thousand, four hundred seventy-two".