78407680 has 192 divisors, whose sum is σ = 220147200. Its totient is φ = 26542080.

The previous prime is 78407657. The next prime is 78407683. The reversal of 78407680 is 8670487.

It is a super-2 number, since 2×78407680² = 12295528565964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78407683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529265 + ... + 2529295.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^78407680 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 78407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

78407680 is an abundant number, since it is smaller than the sum of its proper divisors (141739520).

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

78407680 is a wasteful number, since it uses less digits than its factorization.

78407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 78407680 is about 8854.8111216445. The cubic root of 78407680 is about 428.0089671164.

The spelling of 78407680 in words is "seventy-eight million, four hundred seven thousand, six hundred eighty".