78951600 has 360 divisors, whose sum is σ = 338610272. Its totient is φ = 16588800.

The previous prime is 78951581. The next prime is 78951641. The reversal of 78951600 is 615987.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327480 + ... + 327720.

Almost surely, 2^78951600 is an apocalyptic number.

78951600 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 78951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169305136).

78951600 is an abundant number, since it is smaller than the sum of its proper divisors (259658672).

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

78951600 is a wasteful number, since it uses less digits than its factorization.

78951600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 78951600 is about 8885.4712874445. The cubic root of 78951600 is about 428.9963975116.

The spelling of 78951600 in words is "seventy-eight million, nine hundred fifty-one thousand, six hundred".