1792120716 has 72 divisors (see below), whose sum is σ = 4827723264. Its totient is φ = 559231200.

The previous prime is 1792120703. The next prime is 1792120723. The reversal of 1792120716 is 6170212971.

It is a happy number.

It is a super-3 number, since 3×1792120716³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15891 + ... + 61941.

It is an arithmetic number, because the mean of its divisors is an integer number (67051712).

Almost surely, 2^1792120716 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 1792120716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413861632).

1792120716 is an abundant number, since it is smaller than the sum of its proper divisors (3035602548).

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

1792120716 is a wasteful number, since it uses less digits than its factorization.

1792120716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46131 (or 46126 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1792120716 is about 42333.4467767509. The cubic root of 1792120716 is about 1214.6628623101.

The spelling of 1792120716 in words is "one billion, seven hundred ninety-two million, one hundred twenty thousand, seven hundred sixteen".