78899520 has 224 divisors, whose sum is σ = 292608000. Its totient is φ = 17639424.

The previous prime is 78899501. The next prime is 78899521. The reversal of 78899520 is 2599887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78899520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78899521) 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, 396381 + ... + 396579.

Almost surely, 2^78899520 is an apocalyptic number.

78899520 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 78899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

78899520 is an abundant number, since it is smaller than the sum of its proper divisors (213708480).

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

78899520 is a wasteful number, since it uses less digits than its factorization.

78899520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 78899520 is about 8882.5401772241. The cubic root of 78899520 is about 428.9020483711.

The spelling of 78899520 in words is "seventy-eight million, eight hundred ninety-nine thousand, five hundred twenty".