842879700 has 216 divisors, whose sum is σ = 2894278296. Its totient is φ = 203904000.

The previous prime is 842879659. The next prime is 842879707. The reversal of 842879700 is 7978248.

842879700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 421316676 + 421563024 = 20526^2 + 20532^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842879707) 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, 713110 + ... + 714290.

Almost surely, 2^842879700 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 842879700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447139148).

842879700 is an abundant number, since it is smaller than the sum of its proper divisors (2051398596).

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

842879700 is a wasteful number, since it uses less digits than its factorization.

842879700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 842879700 is about 29032.3905319559. The cubic root of 842879700 is about 944.6157840107.

The spelling of 842879700 in words is "eight hundred forty-two million, eight hundred seventy-nine thousand, seven hundred".