78198560 has 96 divisors (see below), whose sum is σ = 203539392. Its totient is φ = 28154880.

The previous prime is 78198557. The next prime is 78198563. The reversal of 78198560 is 6589187.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78198557) and next prime (78198563).

It is a super-2 number, since 2×78198560² = 12230029572147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78198563) 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, 276179 + ... + 276461.

It is an arithmetic number, because the mean of its divisors is an integer number (2120202).

Almost surely, 2^78198560 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 78198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101769696).

78198560 is an abundant number, since it is smaller than the sum of its proper divisors (125340832).

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

78198560 is a wasteful number, since it uses less digits than its factorization.

78198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 78198560 is about 8842.9949677697. The cubic root of 78198560 is about 427.6281161333.

The spelling of 78198560 in words is "seventy-eight million, one hundred ninety-eight thousand, five hundred sixty".