77648900 has 36 divisors (see below), whose sum is σ = 192571008. Its totient is φ = 26622240.

The previous prime is 77648899. The next prime is 77648933. The reversal of 77648900 is 984677.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 54764 + ... + 56163.

Almost surely, 2^77648900 is an apocalyptic number.

77648900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77648900 is an abundant number, since it is smaller than the sum of its proper divisors (114922108).

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

77648900 is a wasteful number, since it uses less digits than its factorization.

77648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110948 (or 110941 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 77648900 is about 8811.8613243741. The cubic root of 77648900 is about 426.6238224666.

The spelling of 77648900 in words is "seventy-seven million, six hundred forty-eight thousand, nine hundred".