7650400 has 72 divisors (see below), whose sum is σ = 19076904. Its totient is φ = 2995200.

The previous prime is 7650389. The next prime is 7650413. The reversal of 7650400 is 40567.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58335 + ... + 58465.

It is an arithmetic number, because the mean of its divisors is an integer number (264957).

Almost surely, 2^7650400 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 7650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538452).

7650400 is an abundant number, since it is smaller than the sum of its proper divisors (11426504).

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

7650400 is a wasteful number, since it uses less digits than its factorization.

7650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7650400 is about 2765.9356463953. The cubic root of 7650400 is about 197.0431678100.

Adding to 7650400 its reverse (40567), we get a palindrome (7690967).

The spelling of 7650400 in words is "seven million, six hundred fifty thousand, four hundred".