7557940 has 48 divisors (see below), whose sum is σ = 17534160. Its totient is φ = 2718720.

The previous prime is 7557937. The next prime is 7557941. The reversal of 7557940 is 497557.

It can be written as a sum of positive squares in 8 ways, for example, as 3541924 + 4016016 = 1882^2 + 2004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7557940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7557941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10306 + ... + 11014.

It is an arithmetic number, because the mean of its divisors is an integer number (365295).

Almost surely, 2^7557940 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 7557940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767080).

7557940 is an abundant number, since it is smaller than the sum of its proper divisors (9976220).

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

7557940 is a wasteful number, since it uses less digits than its factorization.

7557940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 7557940 is about 2749.1707840729. The cubic root of 7557940 is about 196.2461505459.

The spelling of 7557940 in words is "seven million, five hundred fifty-seven thousand, nine hundred forty".