87778875625 has 45 divisors (see below), whose sum is σ = 127672218531. Its totient is φ = 60155676000.

The previous prime is 87778875601. The next prime is 87778875629. The reversal of 87778875625 is 52657887778.

It is a happy number.

The square root of 87778875625 is 296275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 75614550361 + 12164325264 = 274981^2 + 110292^2 .

It is not a de Polignac number, because 87778875625 - 2⁵ = 87778875593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87778875629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51847279 + ... + 51848971.

Almost surely, 2^87778875625 is an apocalyptic number.

87778875625 is the 296275-th square number.

87778875625 is the 148138-th centered octagonal number.

It is an amenable number.

87778875625 is a deficient number, since it is larger than the sum of its proper divisors (39893342906).

87778875625 is an frugal number, since it uses more digits than its factorization.

87778875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 1705 counting only the distinct ones).

The product of its digits is 368793600, while the sum is 70.

The spelling of 87778875625 in words is "eighty-seven billion, seven hundred seventy-eight million, eight hundred seventy-five thousand, six hundred twenty-five".