80961920 has 128 divisors (see below), whose sum is σ = 214885440. Its totient is φ = 28975104.

The previous prime is 80961919. The next prime is 80961943. The reversal of 80961920 is 2916908.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307709 + ... + 307971.

Almost surely, 2^80961920 is an apocalyptic number.

80961920 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 80961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

80961920 is an abundant number, since it is smaller than the sum of its proper divisors (133923520).

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

80961920 is a wasteful number, since it uses less digits than its factorization.

80961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 80961920 is about 8997.8841957429. The cubic root of 80961920 is about 432.6070569287.

The spelling of 80961920 in words is "eighty million, nine hundred sixty-one thousand, nine hundred twenty".