78013696 has 72 divisors (see below), whose sum is σ = 168180320. Its totient is φ = 35997696.

The previous prime is 78013679. The next prime is 78013699. The reversal of 78013696 is 69631087.

It is a super-2 number, since 2×78013696² = 12172273527160832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78013699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208966 + ... + 209338.

Almost surely, 2^78013696 is an apocalyptic number.

78013696 is a gapful number since it is divisible by the number (76) 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 78013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84090160).

78013696 is an abundant number, since it is smaller than the sum of its proper divisors (90166624).

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

78013696 is a wasteful number, since it uses less digits than its factorization.

78013696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 78013696 is about 8832.5362156065. The cubic root of 78013696 is about 427.2908745410.

The spelling of 78013696 in words is "seventy-eight million, thirteen thousand, six hundred ninety-six".