1792261120 has 88 divisors (see below), whose sum is σ = 4630215744. Its totient is φ = 661733376.

The previous prime is 1792261117. The next prime is 1792261123. The reversal of 1792261120 is 211622971.

1792261120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1792261117) and next prime (1792261123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792261123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53097 + ... + 80023.

It is an arithmetic number, because the mean of its divisors is an integer number (52616088).

Almost surely, 2^1792261120 is an apocalyptic number.

1792261120 is a gapful number since it is divisible by the number (10) 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 1792261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315107872).

1792261120 is an abundant number, since it is smaller than the sum of its proper divisors (2837954624).

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

1792261120 is a wasteful number, since it uses less digits than its factorization.

1792261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26965 (or 26947 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1792261120 is about 42335.1050547888. The cubic root of 1792261120 is about 1214.6945824707.

The spelling of 1792261120 in words is "one billion, seven hundred ninety-two million, two hundred sixty-one thousand, one hundred twenty".