80401920 has 240 divisors, whose sum is σ = 280629360. Its totient is φ = 19611648.

The previous prime is 80401907. The next prime is 80401921. The reversal of 80401920 is 2910408.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80401921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772466 + ... + 2772494.

It is an arithmetic number, because the mean of its divisors is an integer number (1169289).

Almost surely, 2^80401920 is an apocalyptic number.

80401920 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 80401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140314680).

80401920 is an abundant number, since it is smaller than the sum of its proper divisors (200227440).

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

80401920 is a wasteful number, since it uses less digits than its factorization.

80401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 80401920 is about 8966.7117718816. The cubic root of 80401920 is about 431.6073249341.

The spelling of 80401920 in words is "eighty million, four hundred one thousand, nine hundred twenty".