77794816 has 80 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 33454080.

The previous prime is 77794807. The next prime is 77794817. The reversal of 77794816 is 61849777.

It is a self number, because there is not a number n which added to its sum of digits gives 77794816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77794817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106645 + ... + 107371.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^77794816 is an apocalyptic number.

77794816 is a gapful number since it is divisible by the number (76) 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 77794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

77794816 is an abundant number, since it is smaller than the sum of its proper divisors (100943744).

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

77794816 is a wasteful number, since it uses less digits than its factorization.

77794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 759 counting only the distinct ones).

The product of its digits is 592704, while the sum is 49.

The square root of 77794816 is about 8820.1369603879. The cubic root of 77794816 is about 426.8908890901.

The spelling of 77794816 in words is "seventy-seven million, seven hundred ninety-four thousand, eight hundred sixteen".