78719040 has 140 divisors (see below), whose sum is σ = 280109676. Its totient is φ = 20984832.

The previous prime is 78719029. The next prime is 78719051. The reversal of 78719040 is 4091787.

It is an interprime number because it is at equal distance from previous prime (78719029) and next prime (78719051).

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 29942784 = 6984^2 + 5472^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 78718986 and 78719004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24402 + ... + 27438.

Almost surely, 2^78719040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140054838).

78719040 is an abundant number, since it is smaller than the sum of its proper divisors (201390636).

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

78719040 is a wasteful number, since it uses less digits than its factorization.

78719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 78719040 is about 8872.3751047845. The cubic root of 78719040 is about 428.5747656883.

The spelling of 78719040 in words is "seventy-eight million, seven hundred nineteen thousand, forty".