78116448 has 96 divisors (see below), whose sum is σ = 218332800. Its totient is φ = 24385536.

The previous prime is 78116443. The next prime is 78116461. The reversal of 78116448 is 84461187.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78116448² = 12204358896273408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78116443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205923 + ... + 206301.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2^78116448 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 78116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109166400).

78116448 is an abundant number, since it is smaller than the sum of its proper divisors (140216352).

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

78116448 is a wasteful number, since it uses less digits than its factorization.

78116448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 78116448 is about 8838.3509774165. The cubic root of 78116448 is about 427.4783874714.

The spelling of 78116448 in words is "seventy-eight million, one hundred sixteen thousand, four hundred forty-eight".