78759840 has 192 divisors, whose sum is σ = 263208960. Its totient is φ = 19768320.

The previous prime is 78759833. The next prime is 78759841. The reversal of 78759840 is 4895787.

It is a super-2 number, since 2×78759840² = 12406224793651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78759840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78759841) 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, 996921 + ... + 996999.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 2^78759840 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 78759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

78759840 is an abundant number, since it is smaller than the sum of its proper divisors (184449120).

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

78759840 is a wasteful number, since it uses less digits than its factorization.

78759840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 78759840 is about 8874.6740785225. The cubic root of 78759840 is about 428.6487961911.

The spelling of 78759840 in words is "seventy-eight million, seven hundred fifty-nine thousand, eight hundred forty".