78503040 has 512 divisors, whose sum is σ = 352512000. Its totient is φ = 16035840.

The previous prime is 78503027. The next prime is 78503053. The reversal of 78503040 is 4030587.

It is an interprime number because it is at equal distance from previous prime (78503027) and next prime (78503053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 78502995 and 78503013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330531 + ... + 1330589.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^78503040 is an apocalyptic number.

78503040 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 78503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

78503040 is an abundant number, since it is smaller than the sum of its proper divisors (274008960).

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

78503040 is a wasteful number, since it uses less digits than its factorization.

78503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78503040 is about 8860.1941287988. The cubic root of 78503040 is about 428.1824127100.

The spelling of 78503040 in words is "seventy-eight million, five hundred three thousand, forty".