7853252400 has 480 divisors, whose sum is σ = 32405227520. Its totient is φ = 1769195520.

The previous prime is 7853252347. The next prime is 7853252401. The reversal of 7853252400 is 42523587.

7853252400 is a `hidden beast` number, since 78 + 532 + 52 + 4 + 0 + 0 = 666.

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 (7853252401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5518089 + ... + 5519511.

Almost surely, 2^7853252400 is an apocalyptic number.

7853252400 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 7853252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202613760).

7853252400 is an abundant number, since it is smaller than the sum of its proper divisors (24551975120).

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

7853252400 is a wasteful number, since it uses less digits than its factorization.

7853252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7853252400 is about 88618.5781876464. The cubic root of 7853252400 is about 1987.6954880694.

Adding to 7853252400 its reverse (42523587), we get a palindrome (7895775987).

The spelling of 7853252400 in words is "seven billion, eight hundred fifty-three million, two hundred fifty-two thousand, four hundred".