7858348920 has 128 divisors (see below), whose sum is σ = 26231169600. Its totient is φ = 2092626432.

The previous prime is 7858348873. The next prime is 7858348931. The reversal of 7858348920 is 298438587.

It is a happy number.

7858348920 is a `hidden beast` number, since 7 + 85 + 83 + 489 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830134 + ... + 839546.

Almost surely, 2^7858348920 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 7858348920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115584800).

7858348920 is an abundant number, since it is smaller than the sum of its proper divisors (18372820680).

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

7858348920 is a wasteful number, since it uses less digits than its factorization.

7858348920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 7858348920 is about 88647.3288937687. The cubic root of 7858348920 is about 1988.1253795614.

The spelling of 7858348920 in words is "seven billion, eight hundred fifty-eight million, three hundred forty-eight thousand, nine hundred twenty".