78553620 has 72 divisors (see below), whose sum is σ = 239429736. Its totient is φ = 20846592.

The previous prime is 78553609. The next prime is 78553633. The reversal of 78553620 is 2635587.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 76842756 = 1308^2 + 8766^2 .

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

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, 41004 + ... + 42876.

It is an arithmetic number, because the mean of its divisors is an integer number (3325413).

Almost surely, 2^78553620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78553620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119714868).

78553620 is an abundant number, since it is smaller than the sum of its proper divisors (160876116).

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

78553620 is a wasteful number, since it uses less digits than its factorization.

78553620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 78553620 is about 8863.0480084450. The cubic root of 78553620 is about 428.2743531697.

The spelling of 78553620 in words is "seventy-eight million, five hundred fifty-three thousand, six hundred twenty".