7977540 has 48 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 2058240.

The previous prime is 7977521. The next prime is 7977551. The reversal of 7977540 is 457797.

It is a super-2 number, since 2×7977540² = 127282288903200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285 + ... + 4004.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 2^7977540 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 7977540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

7977540 is an abundant number, since it is smaller than the sum of its proper divisors (15085500).

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

7977540 is a wasteful number, since it uses less digits than its factorization.

7977540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 7977540 is about 2824.4539295234. The cubic root of 7977540 is about 199.8126579028.

The spelling of 7977540 in words is "seven million, nine hundred seventy-seven thousand, five hundred forty".