1007678640 has 80 divisors (see below), whose sum is σ = 3139807968. Its totient is φ = 267337728.

The previous prime is 1007678629. The next prime is 1007678663. The reversal of 1007678640 is 468767001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36624 + ... + 57936.

Almost surely, 2^1007678640 is an apocalyptic number.

1007678640 is a gapful number since it is divisible by the number (10) 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 1007678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569903984).

1007678640 is an abundant number, since it is smaller than the sum of its proper divisors (2132129328).

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

1007678640 is a wasteful number, since it uses less digits than its factorization.

1007678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21526 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1007678640 is about 31743.9543850479. The cubic root of 1007678640 is about 1002.5530231924.

The spelling of 1007678640 in words is "one billion, seven million, six hundred seventy-eight thousand, six hundred forty".