78901760 has 240 divisors, whose sum is σ = 239308344. Its totient is φ = 24772608.

The previous prime is 78901759. The next prime is 78901807. The reversal of 78901760 is 6710987.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78287104 + 614656 = 8848^2 + 784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132462 + ... + 2132498.

Almost surely, 2^78901760 is an apocalyptic number.

78901760 is a gapful number since it is divisible by the number (70) 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 78901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119654172).

78901760 is an abundant number, since it is smaller than the sum of its proper divisors (160406584).

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

78901760 is a wasteful number, since it uses less digits than its factorization.

78901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 78901760 is about 8882.6662663865. Note that the first 3 decimals coincide. The cubic root of 78901760 is about 428.9061072530.

The spelling of 78901760 in words is "seventy-eight million, nine hundred one thousand, seven hundred sixty".