7935007752 has 384 divisors, whose sum is σ = 26844364800. Its totient is φ = 2126113920.

The previous prime is 7935007739. The next prime is 7935007831. The reversal of 7935007752 is 2577005397.

It is a happy number.

7935007752 is a `hidden beast` number, since 7 + 93 + 500 + 7 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7935007698 and 7935007707.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62480313 + ... + 62480439.

It is an arithmetic number, because the mean of its divisors is an integer number (69907200).

Almost surely, 2^7935007752 is an apocalyptic number.

7935007752 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 7935007752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422182400).

7935007752 is an abundant number, since it is smaller than the sum of its proper divisors (18909357048).

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

7935007752 is a wasteful number, since it uses less digits than its factorization.

7935007752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 7935007752 is about 89078.6604748859. The cubic root of 7935007752 is about 1994.5692461370.

The spelling of 7935007752 in words is "seven billion, nine hundred thirty-five million, seven thousand, seven hundred fifty-two".