77148900 has 108 divisors (see below), whose sum is σ = 252400512. Its totient is φ = 19673280.

The previous prime is 77148899. The next prime is 77148937. The reversal of 77148900 is 984177.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18837 + ... + 22563.

Almost surely, 2^77148900 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 77148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126200256).

77148900 is an abundant number, since it is smaller than the sum of its proper divisors (175251612).

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

77148900 is a wasteful number, since it uses less digits than its factorization.

77148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 77148900 is about 8783.4446545760. Note that the first 3 decimals coincide. The cubic root of 77148900 is about 425.7061386710.

The spelling of 77148900 in words is "seventy-seven million, one hundred forty-eight thousand, nine hundred".