78519280 has 80 divisors (see below), whose sum is σ = 215414784. Its totient is φ = 26046720.

The previous prime is 78519239. The next prime is 78519289. The reversal of 78519280 is 8291587.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78519289) 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, 15099 + ... + 19621.

Almost surely, 2^78519280 is an apocalyptic number.

78519280 is a gapful number since it is divisible by the number (70) 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 78519280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107707392).

78519280 is an abundant number, since it is smaller than the sum of its proper divisors (136895504).

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

78519280 is a wasteful number, since it uses less digits than its factorization.

78519280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 78519280 is about 8861.1105398816. The cubic root of 78519280 is about 428.2119368445.

The spelling of 78519280 in words is "seventy-eight million, five hundred nineteen thousand, two hundred eighty".