77793240 has 128 divisors (see below), whose sum is σ = 274037760. Its totient is φ = 17293824.

The previous prime is 77793223. The next prime is 77793251. The reversal of 77793240 is 4239777.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29829 + ... + 32331.

It is an arithmetic number, because the mean of its divisors is an integer number (2140920).

Almost surely, 2^77793240 is an apocalyptic number.

77793240 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 77793240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137018880).

77793240 is an abundant number, since it is smaller than the sum of its proper divisors (196244520).

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

77793240 is a wasteful number, since it uses less digits than its factorization.

77793240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 77793240 is about 8820.0476189191. The cubic root of 77793240 is about 426.8880063591. Note that the first 3 decimals are identical.

The spelling of 77793240 in words is "seventy-seven million, seven hundred ninety-three thousand, two hundred forty".