842772000 has 384 divisors, whose sum is σ = 3220439040. Its totient is φ = 188697600.

The previous prime is 842771981. The next prime is 842772011. The reversal of 842772000 is 277248.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6635937 + ... + 6636063.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^842772000 is an apocalyptic number.

842772000 is a gapful number since it is divisible by the number (80) 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 842772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610219520).

842772000 is an abundant number, since it is smaller than the sum of its proper divisors (2377667040).

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

842772000 is a wasteful number, since it uses less digits than its factorization.

842772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 842772000 is about 29030.5356478312. The cubic root of 842772000 is about 944.5755491455.

The spelling of 842772000 in words is "eight hundred forty-two million, seven hundred seventy-two thousand".