1792987020 has 144 divisors (see below), whose sum is σ = 6059708928. Its totient is φ = 425393280.

The previous prime is 1792987019. The next prime is 1792987037. The reversal of 1792987020 is 207892971.

1792987020 = T₃₃₀ + T₃₃₁ + ... + T₂₂₀₉.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83427 + ... + 102693.

It is an arithmetic number, because the mean of its divisors is an integer number (42081312).

Almost surely, 2^1792987020 is an apocalyptic number.

1792987020 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 1792987020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029854464).

1792987020 is an abundant number, since it is smaller than the sum of its proper divisors (4266721908).

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

1792987020 is a wasteful number, since it uses less digits than its factorization.

1792987020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340 (or 19335 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1792987020 is about 42343.6774501223. The cubic root of 1792987020 is about 1214.8585518412.

The spelling of 1792987020 in words is "one billion, seven hundred ninety-two million, nine hundred eighty-seven thousand, twenty".