78817872 has 240 divisors, whose sum is σ = 260554752. Its totient is φ = 20401920.

The previous prime is 78817861. The next prime is 78817873. The reversal of 78817872 is 27871887.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78817873) 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 47 ways as a sum of consecutive naturals, for example, 1676953 + ... + 1676999.

Almost surely, 2^78817872 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 78817872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

78817872 is an abundant number, since it is smaller than the sum of its proper divisors (181736880).

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

78817872 is a wasteful number, since it uses less digits than its factorization.

78817872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 351232, while the sum is 48.

The square root of 78817872 is about 8877.9430049984. The cubic root of 78817872 is about 428.7540496633.

It can be divided in two parts, 7881 and 7872, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 78817872 in words is "seventy-eight million, eight hundred seventeen thousand, eight hundred seventy-two".