78319488 has 128 divisors (see below), whose sum is σ = 232192800. Its totient is φ = 23224320.

The previous prime is 78319487. The next prime is 78319489. The reversal of 78319488 is 88491387.

It is an interprime number because it is at equal distance from previous prime (78319487) and next prime (78319489).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78319488² = 12267884401164288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78319487) 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 15 ways as a sum of consecutive naturals, for example, 144498 + ... + 145038.

Almost surely, 2^78319488 is an apocalyptic number.

78319488 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116096400).

78319488 is an abundant number, since it is smaller than the sum of its proper divisors (153873312).

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

78319488 is a wasteful number, since it uses less digits than its factorization.

78319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 78319488 is about 8849.8298288724. The cubic root of 78319488 is about 427.8484338280.

It can be divided in two parts, 78 and 319488, that multiplied together give a square (24920064 = 4992²).

The spelling of 78319488 in words is "seventy-eight million, three hundred nineteen thousand, four hundred eighty-eight".