78419328 has 128 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 23046144.

The previous prime is 78419321. The next prime is 78419339. The reversal of 78419328 is 82391487.

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

It is a super-2 number, since 2×78419328² = 12299182007943168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78419328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78419321) 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, 114475 + ... + 115157.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^78419328 is an apocalyptic number.

78419328 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 78419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

78419328 is an abundant number, since it is smaller than the sum of its proper divisors (156001152).

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

78419328 is a wasteful number, since it uses less digits than its factorization.

78419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 78419328 is about 8855.4688187583. The cubic root of 78419328 is about 428.0301606253.

The spelling of 78419328 in words is "seventy-eight million, four hundred nineteen thousand, three hundred twenty-eight".