77107240 has 128 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 24477696.

The previous prime is 77107231. The next prime is 77107241. The reversal of 77107240 is 4270177.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 77107199 and 77107208.

It is not an unprimeable number, because it can be changed into a prime (77107241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461637 + ... + 461803.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^77107240 is an apocalyptic number.

77107240 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 77107240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

77107240 is an abundant number, since it is smaller than the sum of its proper divisors (136266200).

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

77107240 is a wasteful number, since it uses less digits than its factorization.

77107240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 77107240 is about 8781.0728273942. The cubic root of 77107240 is about 425.6294985160.

The spelling of 77107240 in words is "seventy-seven million, one hundred seven thousand, two hundred forty".