7812050400 has 1296 divisors, whose sum is σ = 36718118640. Its totient is φ = 1596672000.

The previous prime is 7812050399. The next prime is 7812050401. The reversal of 7812050400 is 40502187.

It is an interprime number because it is at equal distance from previous prime (7812050399) and next prime (7812050401).

It is a super-2 number, since 2×7812050400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7812050401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 128066370 + ... + 128066430.

Almost surely, 2^7812050400 is an apocalyptic number.

7812050400 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 7812050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18359059320).

7812050400 is an abundant number, since it is smaller than the sum of its proper divisors (28906068240).

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

7812050400 is a wasteful number, since it uses less digits than its factorization.

7812050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7812050400 is about 88385.8042900555. The cubic root of 7812050400 is about 1984.2132504694.

Adding to 7812050400 its reverse (40502187), we get a palindrome (7852552587).

The spelling of 7812050400 in words is "seven billion, eight hundred twelve million, fifty thousand, four hundred".