77349000 has 256 divisors, whose sum is σ = 269568000. Its totient is φ = 18374400.

The previous prime is 77348993. The next prime is 77349043. The reversal of 77349000 is 94377.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310971 + ... + 1311029.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^77349000 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 77349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

77349000 is an abundant number, since it is smaller than the sum of its proper divisors (192219000).

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

77349000 is a wasteful number, since it uses less digits than its factorization.

77349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 77349000 is about 8794.8280256069. The cubic root of 77349000 is about 426.0738702377.

The spelling of 77349000 in words is "seventy-seven million, three hundred forty-nine thousand".