7641400 has 48 divisors (see below), whose sum is σ = 19139400. Its totient is φ = 2820480.

The previous prime is 7641383. The next prime is 7641427. The reversal of 7641400 is 41467.

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, 1131 + ... + 4069.

Almost surely, 2^7641400 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 7641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569700).

7641400 is an abundant number, since it is smaller than the sum of its proper divisors (11498000).

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

7641400 is a wasteful number, since it uses less digits than its factorization.

7641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 7641400 is about 2764.3082317281. The cubic root of 7641400 is about 196.9658697003.

Adding to 7641400 its reverse (41467), we get a palindrome (7682867).

The spelling of 7641400 in words is "seven million, six hundred forty-one thousand, four hundred".