78837948 has 72 divisors (see below), whose sum is σ = 236209792. Its totient is φ = 22523184.

The previous prime is 78837947. The next prime is 78838013. The reversal of 78837948 is 84973887.

It is a super-3 number, since 3×78837948³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78837894 and 78837903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78837943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 12597.

Almost surely, 2^78837948 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 78837948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118104896).

78837948 is an abundant number, since it is smaller than the sum of its proper divisors (157371844).

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

78837948 is a wasteful number, since it uses less digits than its factorization.

78837948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11599 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 78837948 is about 8879.0736003257. The cubic root of 78837948 is about 428.7904497646.

The spelling of 78837948 in words is "seventy-eight million, eight hundred thirty-seven thousand, nine hundred forty-eight".