4792080 has 80 divisors (see below), whose sum is σ = 15249024. Its totient is φ = 1244160.

The previous prime is 4792069. The next prime is 4792097. The reversal of 4792080 is 802974.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 4³ + 7³ + 9⁷ + 2¹³ + 0 + 8³ + 0 .

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, 9597 + ... + 10083.

Almost surely, 2^4792080 is an apocalyptic number.

4792080 is a gapful number since it is divisible by the number (40) 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 4792080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624512).

4792080 is an abundant number, since it is smaller than the sum of its proper divisors (10456944).

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

4792080 is a wasteful number, since it uses less digits than its factorization.

4792080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4792080 is about 2189.0819993778. The cubic root of 4792080 is about 168.5937043927.

The spelling of 4792080 in words is "four million, seven hundred ninety-two thousand, eighty".