79851408 has 160 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 20736000.

The previous prime is 79851407. The next prime is 79851419. The reversal of 79851408 is 80415897.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 79851408.

It is not an unprimeable number, because it can be changed into a prime (79851403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441078 + ... + 441258.

Almost surely, 2^79851408 is an apocalyptic number.

79851408 is a gapful number since it is divisible by the number (78) 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 79851408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

79851408 is an abundant number, since it is smaller than the sum of its proper divisors (177965424).

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

79851408 is a wasteful number, since it uses less digits than its factorization.

79851408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 79851408 is about 8935.9615039457. The cubic root of 79851408 is about 430.6199961993.

The spelling of 79851408 in words is "seventy-nine million, eight hundred fifty-one thousand, four hundred eight".