79780400 has 60 divisors (see below), whose sum is σ = 219061872. Its totient is φ = 27352320.

The previous prime is 79780387. The next prime is 79780417. The reversal of 79780400 is 408797.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11447 + ... + 17046.

Almost surely, 2^79780400 is an apocalyptic number.

79780400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79780400 is an abundant number, since it is smaller than the sum of its proper divisors (139281472).

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

79780400 is a wasteful number, since it uses less digits than its factorization.

79780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28518 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 79780400 is about 8931.9874608062. The cubic root of 79780400 is about 430.4923151576.

The spelling of 79780400 in words is "seventy-nine million, seven hundred eighty thousand, four hundred".