78007580 has 24 divisors (see below), whose sum is σ = 187218528. Its totient is φ = 26745408.

The previous prime is 78007571. The next prime is 78007583. The reversal of 78007580 is 8570087.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 78007580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78007583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278459 + ... + 278738.

It is an arithmetic number, because the mean of its divisors is an integer number (7800772).

Almost surely, 2^78007580 is an apocalyptic number.

78007580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78007580 is an abundant number, since it is smaller than the sum of its proper divisors (109210948).

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

78007580 is a wasteful number, since it uses less digits than its factorization.

78007580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557213 (or 557211 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 78007580 is about 8832.1899888986. The cubic root of 78007580 is about 427.2797082141.

It can be divided in two parts, 78007 and 580, that added together give a palindrome (78587).

The spelling of 78007580 in words is "seventy-eight million, seven thousand, five hundred eighty".