7978062400 has 567 divisors, whose sum is σ = 25996211787. Its totient is φ = 2400921600.

The previous prime is 7978062373. The next prime is 7978062409. The reversal of 7978062400 is 42608797.

The square root of 7978062400 is 89320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 109662784 + 7868399616 = 10472^2 + 88704^2 .

It is not an unprimeable number, because it can be changed into a prime (7978062409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 275105586 + ... + 275105614.

Almost surely, 2^7978062400 is an apocalyptic number.

7978062400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7978062400 is the 89320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7978062400

7978062400 is an abundant number, since it is smaller than the sum of its proper divisors (18018149387).

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

7978062400 is a wasteful number, since it uses less digits than its factorization.

7978062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The cubic root of 7978062400 is about 1998.1701930805.

The spelling of 7978062400 in words is "seven billion, nine hundred seventy-eight million, sixty-two thousand, four hundred".