78874600 has 96 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 26507520.

The previous prime is 78874597. The next prime is 78874667. The reversal of 78874600 is 647887.

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 23 ways as a sum of consecutive naturals, for example, 73669 + ... + 74731.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^78874600 is an apocalyptic number.

78874600 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 78874600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

78874600 is an abundant number, since it is smaller than the sum of its proper divisors (134861720).

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

78874600 is a wasteful number, since it uses less digits than its factorization.

78874600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 78874600 is about 8881.1373145561. The cubic root of 78874600 is about 428.8568881280.

The spelling of 78874600 in words is "seventy-eight million, eight hundred seventy-four thousand, six hundred".