78700752 has 120 divisors (see below), whose sum is σ = 251249544. Its totient is φ = 22781952.

The previous prime is 78700711. The next prime is 78700753. The reversal of 78700752 is 25700787.

It can be written as a sum of positive squares in 4 ways, for example, as 16353936 + 62346816 = 4044^2 + 7896^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78700753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30588 + ... + 33060.

Almost surely, 2^78700752 is an apocalyptic number.

78700752 is a gapful number since it is divisible by the number (72) 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 78700752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125624772).

78700752 is an abundant number, since it is smaller than the sum of its proper divisors (172548792).

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

78700752 is a wasteful number, since it uses less digits than its factorization.

78700752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 78700752 is about 8871.3444302428. The cubic root of 78700752 is about 428.5415743014.

The spelling of 78700752 in words is "seventy-eight million, seven hundred thousand, seven hundred fifty-two".