78150240 has 144 divisors (see below), whose sum is σ = 304825248. Its totient is φ = 17860608.

The previous prime is 78150239. The next prime is 78150263. The reversal of 78150240 is 4205187.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78150240² = 12214920024115200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6204 + ... + 13956.

It is an arithmetic number, because the mean of its divisors is an integer number (2116842).

Almost surely, 2^78150240 is an apocalyptic number.

78150240 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 78150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152412624).

78150240 is an abundant number, since it is smaller than the sum of its proper divisors (226675008).

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

78150240 is a wasteful number, since it uses less digits than its factorization.

78150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 78150240 is about 8840.2624395433. The cubic root of 78150240 is about 427.5400188247.

The spelling of 78150240 in words is "seventy-eight million, one hundred fifty thousand, two hundred forty".