4077980 has 48 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1537536.

The previous prime is 4077971. The next prime is 4078003. The reversal of 4077980 is 897704.

4077980 = T₂₈₁ + T₂₈₂ + ... + T₃₅₉.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4077980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45776 + ... + 45864.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^4077980 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 4077980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

4077980 is an abundant number, since it is smaller than the sum of its proper divisors (4994020).

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

4077980 is a wasteful number, since it uses less digits than its factorization.

4077980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 4077980 is about 2019.4009012576. The cubic root of 4077980 is about 159.7650196538.

The spelling of 4077980 in words is "four million, seventy-seven thousand, nine hundred eighty".