78557952 has 144 divisors (see below), whose sum is σ = 241944192. Its totient is φ = 22364160.

The previous prime is 78557929. The next prime is 78557957. The reversal of 78557952 is 25975587.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78557957) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143343 + ... + 143889.

It is an arithmetic number, because the mean of its divisors is an integer number (1680168).

Almost surely, 2^78557952 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 78557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120972096).

78557952 is an abundant number, since it is smaller than the sum of its proper divisors (163386240).

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

78557952 is a wasteful number, since it uses less digits than its factorization.

78557952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its digits is 882000, while the sum is 48.

The square root of 78557952 is about 8863.2923905285. The cubic root of 78557952 is about 428.2822257133.

It can be divided in two parts, 785579 and 52, that added together give a triangular number (785631 = T₁₂₅₃).

The spelling of 78557952 in words is "seventy-eight million, five hundred fifty-seven thousand, nine hundred fifty-two".