78628480 has 64 divisors (see below), whose sum is σ = 214836480. Its totient is φ = 26956800.

The previous prime is 78628471. The next prime is 78628489. The reversal of 78628480 is 8482687.

It is an interprime number because it is at equal distance from previous prime (78628471) and next prime (78628489).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×78628480² = 12364875734220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78628489) 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, 4296 + ... + 13255.

It is an arithmetic number, because the mean of its divisors is an integer number (3356820).

Almost surely, 2^78628480 is an apocalyptic number.

78628480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78628480 is an abundant number, since it is smaller than the sum of its proper divisors (136208000).

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

78628480 is a wasteful number, since it uses less digits than its factorization.

78628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17577 (or 17565 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 78628480 is about 8867.2701549011. The cubic root of 78628480 is about 428.4103555550.

The spelling of 78628480 in words is "seventy-eight million, six hundred twenty-eight thousand, four hundred eighty".