7955640 has 288 divisors, whose sum is σ = 33611760. Its totient is φ = 1612800.

The previous prime is 7955639. The next prime is 7955687. The reversal of 7955640 is 465597.

7955640 is a `hidden beast` number, since 7 + 9 + 5 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7955595 and 7955604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194020 + ... + 194060.

Almost surely, 2^7955640 is an apocalyptic number.

7955640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7955640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

7955640 is an abundant number, since it is smaller than the sum of its proper divisors (25656120).

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

7955640 is a wasteful number, since it uses less digits than its factorization.

7955640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7955640 is about 2820.5744095840. The cubic root of 7955640 is about 199.6296479535.

The spelling of 7955640 in words is "seven million, nine hundred fifty-five thousand, six hundred forty".