79620240 has 160 divisors (see below), whose sum is σ = 285981696. Its totient is φ = 17948160.

The previous prime is 79620239. The next prime is 79620251. The reversal of 79620240 is 4202697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 79620198 and 79620207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139155 + ... + 139725.

Almost surely, 2^79620240 is an apocalyptic number.

79620240 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 79620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

79620240 is an abundant number, since it is smaller than the sum of its proper divisors (206361456).

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

79620240 is a wasteful number, since it uses less digits than its factorization.

79620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 79620240 is about 8923.0174268574. The cubic root of 79620240 is about 430.2040495417.

The spelling of 79620240 in words is "seventy-nine million, six hundred twenty thousand, two hundred forty".