8977920 has 160 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2039808.

The previous prime is 8977909. The next prime is 8977949. The reversal of 8977920 is 297798.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 53677 + ... + 53843.

Almost surely, 2^8977920 is an apocalyptic number.

8977920 is a gapful number since it is divisible by the number (80) 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 8977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

8977920 is an abundant number, since it is smaller than the sum of its proper divisors (24019968).

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

8977920 is a wasteful number, since it uses less digits than its factorization.

8977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 8977920 is about 2996.3177401604. The cubic root of 8977920 is about 207.8381383749.

The spelling of 8977920 in words is "eight million, nine hundred seventy-seven thousand, nine hundred twenty".