1792145920 has 40 divisors (see below), whose sum is σ = 4296956004. Its totient is φ = 716857344.

The previous prime is 1792145903. The next prime is 1792145921. The reversal of 1792145920 is 295412971.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1463521536 + 328624384 = 38256^2 + 18128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1792145921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347469 + ... + 352588.

Almost surely, 2^1792145920 is an apocalyptic number.

1792145920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1792145920 is an abundant number, since it is smaller than the sum of its proper divisors (2504810084).

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

1792145920 is an frugal number, since it uses more digits than its factorization.

1792145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700080 (or 700064 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 1792145920 is about 42333.7444599459. The cubic root of 1792145920 is about 1214.6685565357.

The spelling of 1792145920 in words is "one billion, seven hundred ninety-two million, one hundred forty-five thousand, nine hundred twenty".