77250900 has 36 divisors (see below), whose sum is σ = 223513472. Its totient is φ = 20600160.

The previous prime is 77250889. The next prime is 77250913. The reversal of 77250900 is 905277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128452 + ... + 129051.

Almost surely, 2^77250900 is an apocalyptic number.

It is an amenable number.

77250900 is an abundant number, since it is smaller than the sum of its proper divisors (146262572).

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

77250900 is a wasteful number, since it uses less digits than its factorization.

77250900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257520 (or 257513 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 77250900 is about 8789.2491146855. The cubic root of 77250900 is about 425.8936673928.

The spelling of 77250900 in words is "seventy-seven million, two hundred fifty thousand, nine hundred".