78627780 has 384 divisors, whose sum is σ = 319979520. Its totient is φ = 15552000.

The previous prime is 78627767. The next prime is 78627781. The reversal of 78627780 is 8772687.

78627780 = 435² + 436² + ... + 682².

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

It is not an unprimeable number, because it can be changed into a prime (78627781) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288950 + ... + 1289010.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^78627780 is an apocalyptic number.

78627780 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 78627780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

78627780 is an abundant number, since it is smaller than the sum of its proper divisors (241351740).

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

78627780 is a wasteful number, since it uses less digits than its factorization.

78627780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 78627780 is about 8867.2306838156. The cubic root of 78627780 is about 428.4090842254.

The spelling of 78627780 in words is "seventy-eight million, six hundred twenty-seven thousand, seven hundred eighty".