78122784 has 48 divisors (see below), whose sum is σ = 207688320. Its totient is φ = 25708800.

The previous prime is 78122773. The next prime is 78122827. The reversal of 78122784 is 48722187.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78122784² = 12206338759821312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (4326840).

Almost surely, 2^78122784 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 78122784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103844160).

78122784 is an abundant number, since it is smaller than the sum of its proper divisors (129565536).

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

78122784 is a wasteful number, since it uses less digits than its factorization.

78122784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10385 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 78122784 is about 8838.7094080527. The cubic root of 78122784 is about 427.4899447038.

The spelling of 78122784 in words is "seventy-eight million, one hundred twenty-two thousand, seven hundred eighty-four".