7874427600 has 360 divisors, whose sum is σ = 29708853720. Its totient is φ = 1919877120.

The previous prime is 7874427593. The next prime is 7874427629. The reversal of 7874427600 is 67244787.

It can be written as a sum of positive squares in 12 ways, for example, as 6883689024 + 990738576 = 82968^2 + 31476^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×7874427600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 5287656 + ... + 5289144.

Almost surely, 2^7874427600 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 7874427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854426860).

7874427600 is an abundant number, since it is smaller than the sum of its proper divisors (21834426120).

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

7874427600 is a wasteful number, since it uses less digits than its factorization.

7874427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 7874427600 is about 88737.9715792512. The cubic root of 7874427600 is about 1989.4803993444.

The spelling of 7874427600 in words is "seven billion, eight hundred seventy-four million, four hundred twenty-seven thousand, six hundred".