842167800 has 192 divisors, whose sum is σ = 2937312000. Its totient is φ = 221754240.

The previous prime is 842167783. The next prime is 842167813. The reversal of 842167800 is 8761248.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447261 + ... + 449139.

It is an arithmetic number, because the mean of its divisors is an integer number (15298500).

Almost surely, 2^842167800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842167800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468656000).

842167800 is an abundant number, since it is smaller than the sum of its proper divisors (2095144200).

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

842167800 is a wasteful number, since it uses less digits than its factorization.

842167800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 842167800 is about 29020.1274979970. The cubic root of 842167800 is about 944.3497668516.

The spelling of 842167800 in words is "eight hundred forty-two million, one hundred sixty-seven thousand, eight hundred".