77870240 has 96 divisors (see below), whose sum is σ = 211849344. Its totient is φ = 26496000.

The previous prime is 77870207. The next prime is 77870257. The reversal of 77870240 is 4207877.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 77870240.

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, 280982 + ... + 281258.

It is an arithmetic number, because the mean of its divisors is an integer number (2206764).

Almost surely, 2^77870240 is an apocalyptic number.

77870240 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 77870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105924672).

77870240 is an abundant number, since it is smaller than the sum of its proper divisors (133979104).

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

77870240 is a wasteful number, since it uses less digits than its factorization.

77870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 77870240 is about 8824.4115951150. The cubic root of 77870240 is about 427.0288049572.

The spelling of 77870240 in words is "seventy-seven million, eight hundred seventy thousand, two hundred forty".