80701824 has 96 divisors (see below), whose sum is σ = 249420600. Its totient is φ = 23052288.

The previous prime is 80701811. The next prime is 80701849. The reversal of 80701824 is 42810708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 80701791 and 80701800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16672 + ... + 20960.

Almost surely, 2^80701824 is an apocalyptic number.

80701824 is a gapful number since it is divisible by the number (84) 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 80701824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124710300).

80701824 is an abundant number, since it is smaller than the sum of its proper divisors (168718776).

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

80701824 is a wasteful number, since it uses less digits than its factorization.

80701824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 80701824 is about 8983.4193935272. The cubic root of 80701824 is about 432.1432995114.

The spelling of 80701824 in words is "eighty million, seven hundred one thousand, eight hundred twenty-four".