78501920 has 288 divisors, whose sum is σ = 248209920. Its totient is φ = 23224320.

The previous prime is 78501877. The next prime is 78501949. The reversal of 78501920 is 2910587.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2532305 + ... + 2532335.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^78501920 is an apocalyptic number.

78501920 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 78501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

78501920 is an abundant number, since it is smaller than the sum of its proper divisors (169708000).

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

78501920 is a wasteful number, since it uses less digits than its factorization.

78501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 78501920 is about 8860.1309245406. The cubic root of 78501920 is about 428.1803764127.

The spelling of 78501920 in words is "seventy-eight million, five hundred one thousand, nine hundred twenty".