78954120 has 384 divisors, whose sum is σ = 330220800. Its totient is φ = 15925248.

The previous prime is 78954119. The next prime is 78954133. The reversal of 78954120 is 2145987.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 813912 + ... + 814008.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^78954120 is an apocalyptic number.

78954120 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 78954120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

78954120 is an abundant number, since it is smaller than the sum of its proper divisors (251266680).

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

78954120 is a wasteful number, since it uses less digits than its factorization.

78954120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 78954120 is about 8885.6130908340. The cubic root of 78954120 is about 429.0009617401. Note that the first 3 decimals are identical.

The spelling of 78954120 in words is "seventy-eight million, nine hundred fifty-four thousand, one hundred twenty".