78415680 has 168 divisors, whose sum is σ = 289791648. Its totient is φ = 17912832.

The previous prime is 78415669. The next prime is 78415697. The reversal of 78415680 is 8651487.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×78415680² = 12298037739724800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46207 + ... + 47873.

Almost surely, 2^78415680 is an apocalyptic number.

78415680 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 78415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144895824).

78415680 is an abundant number, since it is smaller than the sum of its proper divisors (211375968).

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

78415680 is a wasteful number, since it uses less digits than its factorization.

78415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 78415680 is about 8855.2628419488. The cubic root of 78415680 is about 428.0235233235.

The spelling of 78415680 in words is "seventy-eight million, four hundred fifteen thousand, six hundred eighty".