78429120 has 224 divisors, whose sum is σ = 310749696. Its totient is φ = 16281600.

The previous prime is 78429089. The next prime is 78429133. The reversal of 78429120 is 2192487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×78429120² = 12302253727948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73390 + ... + 74450.

Almost surely, 2^78429120 is an apocalyptic number.

78429120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155374848).

78429120 is an abundant number, since it is smaller than the sum of its proper divisors (232320576).

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

78429120 is a wasteful number, since it uses less digits than its factorization.

78429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 78429120 is about 8856.0216801903. The cubic root of 78429120 is about 428.0479755229.

The spelling of 78429120 in words is "seventy-eight million, four hundred twenty-nine thousand, one hundred twenty".