7851261600 has 864 divisors, whose sum is σ = 35624219904. Its totient is φ = 1581465600.

The previous prime is 7851261599. The next prime is 7851261601. The reversal of 7851261600 is 61621587.

It is an interprime number because it is at equal distance from previous prime (7851261599) and next prime (7851261601).

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

It is not an unprimeable number, because it can be changed into a prime (7851261601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15069340 + ... + 15069860.

It is an arithmetic number, because the mean of its divisors is an integer number (41231736).

Almost surely, 2^7851261600 is an apocalyptic number.

7851261600 is a gapful number since it is divisible by the number (70) 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 7851261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812109952).

7851261600 is an abundant number, since it is smaller than the sum of its proper divisors (27772958304).

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

7851261600 is a wasteful number, since it uses less digits than its factorization.

7851261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7851261600 is about 88607.3450680021. The cubic root of 7851261600 is about 1987.5275135624.

The spelling of 7851261600 in words is "seven billion, eight hundred fifty-one million, two hundred sixty-one thousand, six hundred".