78414700 has 108 divisors (see below), whose sum is σ = 213340512. Its totient is φ = 24796800.

The previous prime is 78414649. The next prime is 78414781. The reversal of 78414700 is 741487.

It is a super-2 number, since 2×78414700² = 12297730352180000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63085 + ... + 64315.

Almost surely, 2^78414700 is an apocalyptic number.

78414700 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 78414700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106670256).

78414700 is an abundant number, since it is smaller than the sum of its proper divisors (134925812).

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

78414700 is a wasteful number, since it uses less digits than its factorization.

78414700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 78414700 is about 8855.2075074501. The cubic root of 78414700 is about 428.0217402414.

The spelling of 78414700 in words is "seventy-eight million, four hundred fourteen thousand, seven hundred".