78268788 has 96 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 23811840.

The previous prime is 78268787. The next prime is 78268807. The reversal of 78268788 is 88786287.

It is a super-2 number, since 2×78268788² = 12252006349977888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78268787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149968 + ... + 150488.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 2^78268788 is an apocalyptic number.

78268788 is a gapful number since it is divisible by the number (78) 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 78268788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110496960).

78268788 is an abundant number, since it is smaller than the sum of its proper divisors (142725132).

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

78268788 is a wasteful number, since it uses less digits than its factorization.

78268788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 78268788 is about 8846.9649032875. The cubic root of 78268788 is about 427.7560915576.

The spelling of 78268788 in words is "seventy-eight million, two hundred sixty-eight thousand, seven hundred eighty-eight".