78734880 has 288 divisors, whose sum is σ = 314181504. Its totient is φ = 17584128.

The previous prime is 78734869. The next prime is 78734893. The reversal of 78734880 is 8843787.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78734880² = 12398362657228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 735787 + ... + 735893.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908).

Almost surely, 2^78734880 is an apocalyptic number.

78734880 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 78734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157090752).

78734880 is an abundant number, since it is smaller than the sum of its proper divisors (235446624).

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

78734880 is a wasteful number, since it uses less digits than its factorization.

78734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 78734880 is about 8873.2677182648. The cubic root of 78734880 is about 428.6035099794.

The spelling of 78734880 in words is "seventy-eight million, seven hundred thirty-four thousand, eight hundred eighty".