7477920 has 120 divisors (see below), whose sum is σ = 26436564. Its totient is φ = 1990656.

The previous prime is 7477919. The next prime is 7477927. The reversal of 7477920 is 297747.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 571536 = 2628^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7477927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12672 + ... + 13248.

Almost surely, 2^7477920 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 7477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218282).

7477920 is an abundant number, since it is smaller than the sum of its proper divisors (18958644).

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

7477920 is a wasteful number, since it uses less digits than its factorization.

7477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

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

The square root of 7477920 is about 2734.5785781359. The cubic root of 7477920 is about 195.5511037401.

The spelling of 7477920 in words is "seven million, four hundred seventy-seven thousand, nine hundred twenty".