78786240 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 18886656.

The previous prime is 78786233. The next prime is 78786251. The reversal of 78786240 is 4268787.

It is a super-2 number, since 2×78786240² = 12414543226675200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78786192 and 78786201.

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 31 ways as a sum of consecutive naturals, for example, 736267 + ... + 736373.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^78786240 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 78786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

78786240 is an abundant number, since it is smaller than the sum of its proper divisors (197728320).

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

78786240 is a wasteful number, since it uses less digits than its factorization.

78786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 78786240 is about 8876.1613324680. The cubic root of 78786240 is about 428.6966846584.

The spelling of 78786240 in words is "seventy-eight million, seven hundred eighty-six thousand, two hundred forty".