1792020816 has 60 divisors (see below), whose sum is σ = 5032404468. Its totient is φ = 595287552.

The previous prime is 1792020803. The next prime is 1792020817. The reversal of 1792020816 is 6180202971.

It can be written as a sum of positive squares in 2 ways, for example, as 1063020816 + 729000000 = 32604^2 + 27000^2 .

It is a super-2 number, since 2×1792020816² = 6422677209954611712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792020817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20956 + ... + 63428.

Almost surely, 2^1792020816 is an apocalyptic number.

1792020816 is a gapful number since it is divisible by the number (16) 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 1792020816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516202234).

1792020816 is an abundant number, since it is smaller than the sum of its proper divisors (3240383652).

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

1792020816 is a wasteful number, since it uses less digits than its factorization.

1792020816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42780 (or 42771 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1792020816 is about 42332.2668422091. The cubic root of 1792020816 is about 1214.6402918300.

The spelling of 1792020816 in words is "one billion, seven hundred ninety-two million, twenty thousand, eight hundred sixteen".