78628100 has 36 divisors (see below), whose sum is σ = 171017700. Its totient is φ = 31378560.

The previous prime is 78628091. The next prime is 78628117. The reversal of 78628100 is 182687.

It can be written as a sum of positive squares in 6 ways, for example, as 30824704 + 47803396 = 5552^2 + 6914^2 .

It is a super-2 number, since 2×78628100² = 12364756219220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70346 + ... + 71454.

Almost surely, 2^78628100 is an apocalyptic number.

It is an amenable number.

78628100 is an abundant number, since it is smaller than the sum of its proper divisors (92389600).

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

78628100 is a wasteful number, since it uses less digits than its factorization.

78628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 78628100 is about 8867.2487277622. The cubic root of 78628100 is about 428.4096654056.

The spelling of 78628100 in words is "seventy-eight million, six hundred twenty-eight thousand, one hundred".