78351984 has 120 divisors (see below), whose sum is σ = 234797472. Its totient is φ = 24330240.

The previous prime is 78351971. The next prime is 78351989. The reversal of 78351984 is 48915387.

It is a super-2 number, since 2×78351984² = 12278066793472512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78351989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135504 + ... + 136080.

Almost surely, 2^78351984 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 78351984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117398736).

78351984 is an abundant number, since it is smaller than the sum of its proper divisors (156445488).

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

78351984 is a wasteful number, since it uses less digits than its factorization.

78351984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 78351984 is about 8851.6656059750. The cubic root of 78351984 is about 427.9075993503.

The spelling of 78351984 in words is "seventy-eight million, three hundred fifty-one thousand, nine hundred eighty-four".