1007377740 has 72 divisors (see below), whose sum is σ = 3063780720. Its totient is φ = 267924864.

The previous prime is 1007377733. The next prime is 1007377769. The reversal of 1007377740 is 477737001.

1007377740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1007377740² = 2029619822095015200, which contains 22 as substring.

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 = 1007377695 and 1007377704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62827 + ... + 77213.

It is an arithmetic number, because the mean of its divisors is an integer number (42552510).

Almost surely, 2^1007377740 is an apocalyptic number.

1007377740 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 1007377740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531890360).

1007377740 is an abundant number, since it is smaller than the sum of its proper divisors (2056402980).

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

1007377740 is a wasteful number, since it uses less digits than its factorization.

1007377740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791 (or 14786 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 1007377740 is about 31739.2145460470. The cubic root of 1007377740 is about 1002.4532234400.

The spelling of 1007377740 in words is "one billion, seven million, three hundred seventy-seven thousand, seven hundred forty".