79761240 has 384 divisors, whose sum is σ = 316224000. Its totient is φ = 17791488.

The previous prime is 79761203. The next prime is 79761247. The reversal of 79761240 is 4216797.

It is a happy number.

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 = 79761195 and 79761204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79761247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3467869 + ... + 3467891.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 2^79761240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158112000).

79761240 is an abundant number, since it is smaller than the sum of its proper divisors (236462760).

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

79761240 is a wasteful number, since it uses less digits than its factorization.

79761240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79761240 is about 8930.9148467556. The cubic root of 79761240 is about 430.4578501631.

It can be divided in two parts, 7976 and 1240, that added together give a square (9216 = 96²).

The spelling of 79761240 in words is "seventy-nine million, seven hundred sixty-one thousand, two hundred forty".