7977408 has 28 divisors (see below), whose sum is σ = 21107400. Its totient is φ = 2659072.

The previous prime is 7977353. The next prime is 7977433. The reversal of 7977408 is 8047797.

7977408 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 7977408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20583 + ... + 20966.

Almost surely, 2^7977408 is an apocalyptic number.

It is an amenable number.

7977408 is an abundant number, since it is smaller than the sum of its proper divisors (13129992).

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

7977408 is a wasteful number, since it uses less digits than its factorization.

7977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41564 (or 41554 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7977408 is about 2824.4305620780. The cubic root of 7977408 is about 199.8115558331.

It can be divided in two parts, 7977 and 408, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 7977408 in words is "seven million, nine hundred seventy-seven thousand, four hundred eight".