816241776 has 160 divisors (see below), whose sum is σ = 2489507328. Its totient is φ = 225607680.

The previous prime is 816241739. The next prime is 816241787. The reversal of 816241776 is 677142618.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2658615 + ... + 2658921.

Almost surely, 2^816241776 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 816241776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244753664).

816241776 is an abundant number, since it is smaller than the sum of its proper divisors (1673265552).

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

816241776 is a wasteful number, since it uses less digits than its factorization.

816241776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 816241776 is about 28569.9453272141. The cubic root of 816241776 is about 934.5580287919.

The spelling of 816241776 in words is "eight hundred sixteen million, two hundred forty-one thousand, seven hundred seventy-six".