7694798400 has 567 divisors, whose sum is σ = 29743889331. Its totient is φ = 1886330880.

The previous prime is 7694798359. The next prime is 7694798407. The reversal of 7694798400 is 48974967.

It is a happy number.

The square root of 7694798400 is 87720.

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 179989056 + 7514809344 = 13416^2 + 86688^2 .

It is not an unprimeable number, because it can be changed into a prime (7694798407) 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, 178948779 + ... + 178948821.

Almost surely, 2^7694798400 is an apocalyptic number.

7694798400 is the 87720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7694798400

7694798400 is an abundant number, since it is smaller than the sum of its proper divisors (22049090931).

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

7694798400 is a wasteful number, since it uses less digits than its factorization.

7694798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The cubic root of 7694798400 is about 1974.2360683793.

The spelling of 7694798400 in words is "seven billion, six hundred ninety-four million, seven hundred ninety-eight thousand, four hundred".