80740800 has 420 divisors, whose sum is σ = 342991440. Its totient is φ = 18247680.

The previous prime is 80740789. The next prime is 80740817. The reversal of 80740800 is 804708.

80740800 = 46³ + 47³ + ... + 134³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907156 + ... + 907244.

Almost surely, 2^80740800 is an apocalyptic number.

80740800 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 80740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171495720).

80740800 is an abundant number, since it is smaller than the sum of its proper divisors (262250640).

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

80740800 is a wasteful number, since it uses less digits than its factorization.

80740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80740800 is about 8985.5884615311. The cubic root of 80740800 is about 432.2128580648.

The spelling of 80740800 in words is "eighty million, seven hundred forty thousand, eight hundred".