78612240 has 160 divisors (see below), whose sum is σ = 282767616. Its totient is φ = 17694720.

The previous prime is 78612227. The next prime is 78612241. The reversal of 78612240 is 4221687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 78612198 and 78612207.

It is not an unprimeable number, because it can be changed into a prime (78612241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122320 + ... + 122960.

Almost surely, 2^78612240 is an apocalyptic number.

78612240 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 78612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141383808).

78612240 is an abundant number, since it is smaller than the sum of its proper divisors (204155376).

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

78612240 is a wasteful number, since it uses less digits than its factorization.

78612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78612240 is about 8866.3543804655. The cubic root of 78612240 is about 428.3808587653.

It can be divided in two parts, 7861 and 2240, that added together give a palindrome (10101).

The spelling of 78612240 in words is "seventy-eight million, six hundred twelve thousand, two hundred forty".