78733840 has 40 divisors (see below), whose sum is σ = 189374040. Its totient is φ = 30406656.

The previous prime is 78733819. The next prime is 78733867. The reversal of 78733840 is 4833787.

It can be written as a sum of positive squares in 4 ways, for example, as 30958096 + 47775744 = 5564^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×78733840² = 12398035122291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 78733793 and 78733802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14649 + ... + 19288.

It is an arithmetic number, because the mean of its divisors is an integer number (4734351).

Almost surely, 2^78733840 is an apocalyptic number.

It is an amenable number.

78733840 is an abundant number, since it is smaller than the sum of its proper divisors (110640200).

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

78733840 is a wasteful number, since it uses less digits than its factorization.

78733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33979 (or 33973 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 78733840 is about 8873.2091150834. The cubic root of 78733840 is about 428.6016228462.

The spelling of 78733840 in words is "seventy-eight million, seven hundred thirty-three thousand, eight hundred forty".