77794000 has 80 divisors (see below), whose sum is σ = 190519056. Its totient is φ = 30720000.

The previous prime is 77793953. The next prime is 77794021. The reversal of 77794000 is 49777.

It can be written as a sum of positive squares in 8 ways, for example, as 6290064 + 71503936 = 2508^2 + 8456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 193800 + ... + 194200.

Almost surely, 2^77794000 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 77794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95259528).

77794000 is an abundant number, since it is smaller than the sum of its proper divisors (112725056).

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

77794000 is a wasteful number, since it uses less digits than its factorization.

77794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 77794000 is about 8820.0907024815. The cubic root of 77794000 is about 426.8893965135.

The spelling of 77794000 in words is "seventy-seven million, seven hundred ninety-four thousand".