7977240 has 48 divisors (see below), whose sum is σ = 25927200. Its totient is φ = 2127168.

The previous prime is 7977227. The next prime is 7977241. The reversal of 7977240 is 427797.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 7977195 and 7977204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7977241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10720 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (540150).

Almost surely, 2^7977240 is an apocalyptic number.

It is an amenable number.

7977240 is an abundant number, since it is smaller than the sum of its proper divisors (17949960).

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

7977240 is a wasteful number, since it uses less digits than its factorization.

7977240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22176 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7977240 is about 2824.4008214133. The cubic root of 7977240 is about 199.8101531813.

The spelling of 7977240 in words is "seven million, nine hundred seventy-seven thousand, two hundred forty".