77709240 has 256 divisors, whose sum is σ = 312192000. Its totient is φ = 16796160.

The previous prime is 77709239. The next prime is 77709251. The reversal of 77709240 is 4290777.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77709195 and 77709204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143370 + ... + 143910.

It is an arithmetic number, because the mean of its divisors is an integer number (1219500).

Almost surely, 2^77709240 is an apocalyptic number.

77709240 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 77709240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156096000).

77709240 is an abundant number, since it is smaller than the sum of its proper divisors (234482760).

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

77709240 is a wasteful number, since it uses less digits than its factorization.

77709240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77709240 is about 8815.2844537201. The cubic root of 77709240 is about 426.7343018864.

The spelling of 77709240 in words is "seventy-seven million, seven hundred nine thousand, two hundred forty".