770999040 has 288 divisors, whose sum is σ = 3127810560. Its totient is φ = 176173056.

The previous prime is 770999029. The next prime is 770999051. The reversal of 770999040 is 40999077.

It is an interprime number because it is at equal distance from previous prime (770999029) and next prime (770999051).

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240327 + ... + 243513.

Almost surely, 2^770999040 is an apocalyptic number.

770999040 is a gapful number since it is divisible by the number (70) 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 770999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563905280).

770999040 is an abundant number, since it is smaller than the sum of its proper divisors (2356811520).

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

770999040 is a wasteful number, since it uses less digits than its factorization.

770999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 770999040 is about 27766.8694670465. The cubic root of 770999040 is about 916.9618748735.

The spelling of 770999040 in words is "seven hundred seventy million, nine hundred ninety-nine thousand, forty".