78550920 has 288 divisors, whose sum is σ = 305973720. Its totient is φ = 17418240.

The previous prime is 78550919. The next prime is 78550943. The reversal of 78550920 is 2905587.

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 35070084 = 6594^2 + 5922^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1076004 + ... + 1076076.

Almost surely, 2^78550920 is an apocalyptic number.

78550920 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 78550920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152986860).

78550920 is an abundant number, since it is smaller than the sum of its proper divisors (227422800).

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

78550920 is a wasteful number, since it uses less digits than its factorization.

78550920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 78550920 is about 8862.8956893331. The cubic root of 78550920 is about 428.2694463133.

The spelling of 78550920 in words is "seventy-eight million, five hundred fifty thousand, nine hundred twenty".