836542080 has 448 divisors, whose sum is σ = 3291066720. Its totient is φ = 201553920.

The previous prime is 836542073. The next prime is 836542111. The reversal of 836542080 is 80245638.

836542080 is a `hidden beast` number, since 8 + 36 + 542 + 0 + 80 = 666.

It is a super-2 number, since 2×836542080² = 1399605303221452800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5132079 + ... + 5132241.

Almost surely, 2^836542080 is an apocalyptic number.

836542080 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 836542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645533360).

836542080 is an abundant number, since it is smaller than the sum of its proper divisors (2454524640).

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

836542080 is a wasteful number, since it uses less digits than its factorization.

836542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 836542080 is about 28923.0371849154. The cubic root of 836542080 is about 942.2423004437.

The spelling of 836542080 in words is "eight hundred thirty-six million, five hundred forty-two thousand, eighty".