7874787600 has 675 divisors, whose sum is σ = 31093190557. Its totient is φ = 1908264960.

The previous prime is 7874787559. The next prime is 7874787601. The reversal of 7874787600 is 67874787.

It is a happy number.

The square root of 7874787600 is 88740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2565625104 + 5309162496 = 50652^2 + 72864^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×7874787600² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7874787601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 271544386 + ... + 271544414.

Almost surely, 2^7874787600 is an apocalyptic number.

7874787600 is the 88740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7874787600

7874787600 is an abundant number, since it is smaller than the sum of its proper divisors (23218402957).

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

7874787600 is a wasteful number, since it uses less digits than its factorization.

7874787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The cubic root of 7874787600 is about 1989.5107169778.

The spelling of 7874787600 in words is "seven billion, eight hundred seventy-four million, seven hundred eighty-seven thousand, six hundred".