77791000 has 64 divisors (see below), whose sum is σ = 208054080. Its totient is φ = 26668800.

The previous prime is 77790971. The next prime is 77791027. The reversal of 77791000 is 19777.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 12556.

It is an arithmetic number, because the mean of its divisors is an integer number (3250845).

Almost surely, 2^77791000 is an apocalyptic number.

77791000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77791000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104027040).

77791000 is an abundant number, since it is smaller than the sum of its proper divisors (130263080).

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

77791000 is a wasteful number, since it uses less digits than its factorization.

77791000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11141 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 3087, while the sum is 31.

The square root of 77791000 is about 8819.9206345636. The cubic root of 77791000 is about 426.8839090095.

The spelling of 77791000 in words is "seventy-seven million, seven hundred ninety-one thousand".