7820257152 has 64 divisors (see below), whose sum is σ = 21082665600. Its totient is φ = 2567837184.

The previous prime is 7820257147. The next prime is 7820257169. The reversal of 7820257152 is 2517520287.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7820257152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7820257152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126252 + ... + 177707.

It is an arithmetic number, because the mean of its divisors is an integer number (329416650).

Almost surely, 2^7820257152 is an apocalyptic number.

It is an amenable number.

7820257152 is an abundant number, since it is smaller than the sum of its proper divisors (13262408448).

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

7820257152 is a wasteful number, since it uses less digits than its factorization.

7820257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304043 (or 304031 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 7820257152 is about 88432.2178394277. The cubic root of 7820257152 is about 1984.9078289869.

The spelling of 7820257152 in words is "seven billion, eight hundred twenty million, two hundred fifty-seven thousand, one hundred fifty-two".