78009516 has 144 divisors (see below), whose sum is σ = 231562240. Its totient is φ = 21928320.

The previous prime is 78009509. The next prime is 78009539. The reversal of 78009516 is 61590087.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 275511 + ... + 275793.

Almost surely, 2^78009516 is an apocalyptic number.

78009516 is a gapful number since it is divisible by the number (76) 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 78009516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115781120).

78009516 is an abundant number, since it is smaller than the sum of its proper divisors (153552724).

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

78009516 is a wasteful number, since it uses less digits than its factorization.

78009516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

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

The square root of 78009516 is about 8832.2995873102. The cubic root of 78009516 is about 427.2832429419.

The spelling of 78009516 in words is "seventy-eight million, nine thousand, five hundred sixteen".