78357664 has 144 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 30011520.

The previous prime is 78357661. The next prime is 78357673. The reversal of 78357664 is 46675387.

It is a super-3 number, since 3×78357664³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (846720) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (78357661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1328067 + ... + 1328125.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^78357664 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 78357664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

78357664 is an abundant number, since it is smaller than the sum of its proper divisors (122738336).

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

78357664 is a wasteful number, since it uses less digits than its factorization.

78357664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 78357664 is about 8851.9864437311. The cubic root of 78357664 is about 427.9179392562.

The spelling of 78357664 in words is "seventy-eight million, three hundred fifty-seven thousand, six hundred sixty-four".