80893120 has 224 divisors, whose sum is σ = 248716800. Its totient is φ = 24837120.

The previous prime is 80893103. The next prime is 80893121. The reversal of 80893120 is 2139808.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80893121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207327 + ... + 1207393.

Almost surely, 2^80893120 is an apocalyptic number.

80893120 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 80893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358400).

80893120 is an abundant number, since it is smaller than the sum of its proper divisors (167823680).

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

80893120 is a wasteful number, since it uses less digits than its factorization.

80893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 80893120 is about 8994.0602621953. The cubic root of 80893120 is about 432.4844816065.

The spelling of 80893120 in words is "eighty million, eight hundred ninety-three thousand, one hundred twenty".