79977240 has 256 divisors, whose sum is σ = 311040000. Its totient is φ = 17902080.

The previous prime is 79977199. The next prime is 79977253. The reversal of 79977240 is 4277997.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 536686 + ... + 536834.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 2^79977240 is an apocalyptic number.

79977240 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 79977240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

79977240 is an abundant number, since it is smaller than the sum of its proper divisors (231062760).

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

79977240 is a wasteful number, since it uses less digits than its factorization.

79977240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 79977240 is about 8942.9994968131. Note that the first 3 decimals coincide. The cubic root of 79977240 is about 430.8460716860.

The spelling of 79977240 in words is "seventy-nine million, nine hundred seventy-seven thousand, two hundred forty".