770400540 has 216 divisors, whose sum is σ = 2927957760. Its totient is φ = 162521856.

The previous prime is 770400539. The next prime is 770400563. The reversal of 770400540 is 45004077.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111301 + ... + 118019.

It is an arithmetic number, because the mean of its divisors is an integer number (13555360).

Almost surely, 2^770400540 is an apocalyptic number.

770400540 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 770400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

770400540 is an abundant number, since it is smaller than the sum of its proper divisors (2157557220).

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

770400540 is a wasteful number, since it uses less digits than its factorization.

770400540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 770400540 is about 27756.0901425255. The cubic root of 770400540 is about 916.7245448120.

The spelling of 770400540 in words is "seven hundred seventy million, four hundred thousand, five hundred forty".