1007879040 has 288 divisors, whose sum is σ = 4049683560. Its totient is φ = 230307840.

The previous prime is 1007879039. The next prime is 1007879063. The reversal of 1007879040 is 409787001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1007878986 and 1007879004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280455 + ... + 284025.

Almost surely, 2^1007879040 is an apocalyptic number.

1007879040 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 1007879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024841780).

1007879040 is an abundant number, since it is smaller than the sum of its proper divisors (3041804520).

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

1007879040 is a wasteful number, since it uses less digits than its factorization.

1007879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1007879040 is about 31747.1107346795. The cubic root of 1007879040 is about 1002.6194790051.

The spelling of 1007879040 in words is "one billion, seven million, eight hundred seventy-nine thousand, forty".