78357888 has 256 divisors, whose sum is σ = 274176000. Its totient is φ = 21565440.

The previous prime is 78357859. The next prime is 78357901. The reversal of 78357888 is 88875387.

It is a super-2 number, since 2×78357888² = 12279917223641088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 991833 + ... + 991911.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^78357888 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 78357888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

78357888 is an abundant number, since it is smaller than the sum of its proper divisors (195818112).

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

78357888 is a wasteful number, since it uses less digits than its factorization.

78357888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 78357888 is about 8851.9990962494. Note that the first 3 decimals coincide. The cubic root of 78357888 is about 427.9183470169.

The spelling of 78357888 in words is "seventy-eight million, three hundred fifty-seven thousand, eight hundred eighty-eight".