78389760 has 160 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 20430848.

The previous prime is 78389743. The next prime is 78389777. The reversal of 78389760 is 6798387.

It is an interprime number because it is at equal distance from previous prime (78389743) and next prime (78389777).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×78389760² = 12289908945715200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453034 + ... + 453206.

It is an arithmetic number, because the mean of its divisors is an integer number (1602018).

Almost surely, 2^78389760 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 78389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

78389760 is an abundant number, since it is smaller than the sum of its proper divisors (177933120).

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

78389760 is a wasteful number, since it uses less digits than its factorization.

78389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 78389760 is about 8853.7991845309. The cubic root of 78389760 is about 427.9763576191.

The spelling of 78389760 in words is "seventy-eight million, three hundred eighty-nine thousand, seven hundred sixty".