78279240 has 192 divisors, whose sum is σ = 268833600. Its totient is φ = 18123264.

The previous prime is 78279233. The next prime is 78279263. The reversal of 78279240 is 4297287.

It is a super-2 number, since 2×78279240² = 12255278829955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 563091 + ... + 563229.

It is an arithmetic number, because the mean of its divisors is an integer number (1400175).

Almost surely, 2^78279240 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 78279240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

78279240 is an abundant number, since it is smaller than the sum of its proper divisors (190554360).

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

78279240 is a wasteful number, since it uses less digits than its factorization.

78279240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 78279240 is about 8847.5555946261. Note that the first 4 decimals coincide. The cubic root of 78279240 is about 427.7751315341.

The spelling of 78279240 in words is "seventy-eight million, two hundred seventy-nine thousand, two hundred forty".