1007978724 has 18 divisors (see below), whose sum is σ = 2547946310. Its totient is φ = 335992896.

The previous prime is 1007978711. The next prime is 1007978759. The reversal of 1007978724 is 4278797001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 946669824 + 61308900 = 30768^2 + 7830^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1007978724² = 2032042216073336352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007978724.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13999669 + ... + 13999740.

Almost surely, 2^1007978724 is an apocalyptic number.

It is an amenable number.

1007978724 is an abundant number, since it is smaller than the sum of its proper divisors (1539967586).

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

1007978724 is a wasteful number, since it uses less digits than its factorization.

1007978724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27999419 (or 27999414 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1007978724 is about 31748.6806655017. The cubic root of 1007978724 is about 1002.6525325169.

The spelling of 1007978724 in words is "one billion, seven million, nine hundred seventy-eight thousand, seven hundred twenty-four".