1007878788 has 180 divisors, whose sum is σ = 3180600192. Its totient is φ = 272587680.

The previous prime is 1007878759. The next prime is 1007878829. The reversal of 1007878788 is 8878787001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 818133 + ... + 819363.

Almost surely, 2^1007878788 is an apocalyptic number.

1007878788 is a gapful number since it is divisible by the number (18) 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 1007878788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590300096).

1007878788 is an abundant number, since it is smaller than the sum of its proper divisors (2172721404).

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

1007878788 is a wasteful number, since it uses less digits than its factorization.

1007878788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The square root of 1007878788 is about 31747.1067658141. The cubic root of 1007878788 is about 1002.6193954434.

The spelling of 1007878788 in words is "one billion, seven million, eight hundred seventy-eight thousand, seven hundred eighty-eight".