80742816 has 216 divisors, whose sum is σ = 289310112. Its totient is φ = 20908800.

The previous prime is 80742803. The next prime is 80742829. The reversal of 80742816 is 61824708.

It is an interprime number because it is at equal distance from previous prime (80742803) and next prime (80742829).

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 35 ways as a sum of consecutive naturals, for example, 243771 + ... + 244101.

Almost surely, 2^80742816 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 80742816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144655056).

80742816 is an abundant number, since it is smaller than the sum of its proper divisors (208567296).

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

80742816 is a wasteful number, since it uses less digits than its factorization.

80742816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

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

The square root of 80742816 is about 8985.7006404620. The cubic root of 80742816 is about 432.2164553121.

The spelling of 80742816 in words is "eighty million, seven hundred forty-two thousand, eight hundred sixteen".