7640400 has 60 divisors (see below), whose sum is σ = 24478592. Its totient is φ = 2037120.

The previous prime is 7640377. The next prime is 7640411. The reversal of 7640400 is 40467.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1984 + ... + 4383.

Almost surely, 2^7640400 is an apocalyptic number.

It is an amenable number.

7640400 is an abundant number, since it is smaller than the sum of its proper divisors (16838192).

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

7640400 is a wasteful number, since it uses less digits than its factorization.

7640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7640400 is about 2764.1273487305. The cubic root of 7640400 is about 196.9572772756.

Adding to 7640400 its reverse (40467), we get a palindrome (7680867).

The spelling of 7640400 in words is "seven million, six hundred forty thousand, four hundred".