1881792000 has 720 divisors, whose sum is σ = 7725974256. Its totient is φ = 456192000.

The previous prime is 1881791993. The next prime is 1881792007. The reversal of 1881792000 is 2971881.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1881791993) and next prime (1881792007).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1881792000² = 7082282262528000000, 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 (1881792007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171071995 + ... + 171072005.

Almost surely, 2^1881792000 is an apocalyptic number.

1881792000 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 1881792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862987128).

1881792000 is an abundant number, since it is smaller than the sum of its proper divisors (5844182256).

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

1881792000 is an frugal number, since it uses more digits than its factorization.

1881792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1881792000 is about 43379.6265544092. The cubic root of 1881792000 is about 1234.5931773722.

It can be divided in two parts, 1881 and 792000, that added together give a square (793881 = 891²).

The spelling of 1881792000 in words is "one billion, eight hundred eighty-one million, seven hundred ninety-two thousand".