78296064 has 176 divisors, whose sum is σ = 260967936. Its totient is φ = 20275200.

The previous prime is 78296041. The next prime is 78296081. The reversal of 78296064 is 46069287.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×78296064² = 12260547275784192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236379 + ... + 236709.

Almost surely, 2^78296064 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 78296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130483968).

78296064 is an abundant number, since it is smaller than the sum of its proper divisors (182671872).

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

78296064 is a wasteful number, since it uses less digits than its factorization.

78296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 78296064 is about 8848.5063146273. The cubic root of 78296064 is about 427.8057755605.

The spelling of 78296064 in words is "seventy-eight million, two hundred ninety-six thousand, sixty-four".