78508672 has 96 divisors (see below), whose sum is σ = 177850260. Its totient is φ = 34467840.

The previous prime is 78508663. The next prime is 78508673. The reversal of 78508672 is 27680587.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72863296 + 5645376 = 8536^2 + 2376^2 .

It is a super-2 number, since 2×78508672² = 12327223158407168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78508673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572988 + ... + 573124.

Almost surely, 2^78508672 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 78508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88925130).

78508672 is an abundant number, since it is smaller than the sum of its proper divisors (99341588).

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

78508672 is a wasteful number, since it uses less digits than its factorization.

78508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 78508672 is about 8860.5119490919. The cubic root of 78508672 is about 428.1926520828.

The spelling of 78508672 in words is "seventy-eight million, five hundred eight thousand, six hundred seventy-two".