842624784 has 135 divisors (see below), whose sum is σ = 2458760629. Its totient is φ = 269379840.

The previous prime is 842624777. The next prime is 842624801. The reversal of 842624784 is 487426248.

The square root of 842624784 is 29028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40602384 + 802022400 = 6372^2 + 28320^2 .

It is a super-2 number, since 2×842624784² = 1420033053222093312, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14281747 + ... + 14281805.

Almost surely, 2^842624784 is an apocalyptic number.

842624784 is the 29028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842624784

842624784 is an abundant number, since it is smaller than the sum of its proper divisors (1616135845).

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

842624784 is a wasteful number, since it uses less digits than its factorization.

842624784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The cubic root of 842624784 is about 944.5205462378.

The spelling of 842624784 in words is "eight hundred forty-two million, six hundred twenty-four thousand, seven hundred eighty-four".