79479400 has 192 divisors, whose sum is σ = 248734080. Its totient is φ = 22809600.

The previous prime is 79479373. The next prime is 79479427. The reversal of 79479400 is 497497.

It is an interprime number because it is at equal distance from previous prime (79479373) and next prime (79479427).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200002 + ... + 200398.

It is an arithmetic number, because the mean of its divisors is an integer number (1295490).

Almost surely, 2^79479400 is an apocalyptic number.

79479400 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 79479400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124367040).

79479400 is an abundant number, since it is smaller than the sum of its proper divisors (169254680).

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

79479400 is a wasteful number, since it uses less digits than its factorization.

79479400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 79479400 is about 8915.1219845833. The cubic root of 79479400 is about 429.9502376162.

It can be divided in two parts, 794 and 79400, that multiplied together give a square (63043600 = 7940²).

The spelling of 79479400 in words is "seventy-nine million, four hundred seventy-nine thousand, four hundred".